import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }

struct ModInt(uint M_) {
  import std.conv : to;
  alias M = M_;
  uint x;
  this(ModInt a) { x = a.x; }
  this(uint x_) { x = x_ % M; }
  this(ulong x_) { x = cast(uint)(x_ % M); }
  this(int x_) { x = ((x_ %= cast(int)(M)) < 0) ? (x_ + cast(int)(M)) : x_; }
  this(long x_) { x = cast(uint)(((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_); }
  ref ModInt opAssign(T)(inout(T) a) if (is(T == uint) || is(T == ulong) || is(T == int) || is(T == long)) { return this = ModInt(a); }
  ref ModInt opOpAssign(string op, T)(T a) {
    static if (is(T == ModInt)) {
      static if (op == "+") { x = ((x += a.x) >= M) ? (x - M) : x; }
      else static if (op == "-") { x = ((x -= a.x) >= M) ? (x + M) : x; }
      else static if (op == "*") { x = cast(uint)((cast(ulong)(x) * a.x) % M); }
      else static if (op == "/") { this *= a.inv(); }
      else static assert(false);
      return this;
    } else static if (op == "^^") {
      if (a < 0) return this = inv()^^(-a);
      ModInt b = this, c = 1U;
      for (long e = a; e; e >>= 1) { if (e & 1) c *= b; b *= b; }
      return this = c;
    } else {
      return mixin("this " ~ op ~ "= ModInt(a)");
    }
  }
  ModInt inv() const {
    uint a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const q = a / b; const c = a - q * b; a = b; b = c; const w = y - cast(int)(q) * z; y = z; z = w; }
    assert(a == 1); return ModInt(y);
  }
  ModInt opUnary(string op)() const {
    static if (op == "+") { return this; }
    else static if (op == "-") { ModInt a; a.x = x ? (M - x) : 0U; return a; }
    else static assert(false);
  }
  ModInt opBinary(string op, T)(T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); }
  ModInt opBinaryRight(string op, T)(T a) const { return mixin("ModInt(a) " ~ op ~ "= this"); }
  bool opCast(T: bool)() const { return (x != 0U); }
  string toString() const { return x.to!string; }
}

enum MO = 10^^9 + 7;
alias Mint = ModInt!MO;
alias Mint1 = ModInt!(MO - 1);



void main() {
  try {
    for (; ; ) {
      const N = readInt;
      const K = readLong;
      
      const lim = N + 10;
      auto lpf = iota(lim).array;
      foreach (p; 2 .. lim) if (lpf[p] == p) {
        for (int n = 2 * p; n < lim; n += p) chmin(lpf[n], p);
      }
      
      Mint1[int] es;
      for (int n = N; n > 1; ) {
        const p = lpf[n];
        int e;
        do {
          ++e;
          n /= p;
        } while (n % p == 0);
        es[p] = e;
      }
      
      long k = K;
      for (; k > 0; --k) {
        bool good = true;
        foreach (p, e; es) {
          good = good && (p <= 3);
        }
        if (good && k % 2 == 0) {
          
        }
        Mint1[int] fs;
        foreach (p, e; es) {
          for (int n = p + 1; n > 1; ) {
            const q = lpf[n];
            int f;
            do {
              ++f;
              n /= q;
            } while (n % q == 0);
            auto ptr = q in fs;
            if (ptr) {
              *ptr += e * f;
            } else {
              fs[q] = e * f;
            }
          }
        }
        es = fs;
        debug {
          writeln(es);
        }
      }
      if (k > 0) {
        assert(k % 2 == 0);
        const two = Mint1(2)^^(k / 2);
        if (2 in es) es[2] *= two;
        if (3 in es) es[3] *= two;
      }
      
      Mint ans = 1;
      foreach (p, e; es) {
        ans *= Mint(p)^^e.x;
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}