// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using ll = long long;
#define rep(i,n) for (ll i = 0; i < (n); ++i)
using vl = vector<ll>;
using vvl = vector<vl>;
using P = pair<ll,ll>;
#define pb push_back
#define int long long
#define double long double
#define INF (ll) 3e18
// Ctrl + Shift + B コンパイル
// Ctrl + C 中断
// ./m 実行


// 行列累乗のライブラリ
// https://atcoder.jp/contests/abc204/submissions/23280760
template<typename T>
struct Matrix {
  int h, w;
  vector<vector<T>> d;
  Matrix() {}
  Matrix(int h, int w, T val=0): h(h), w(w), d(h, vector<T>(w,val)) {}
  Matrix& unit() {
    assert(h == w);
    rep(i,h) d[i][i] = 1;
    return *this;
  }
  const vector<T>& operator[](int i) const { return d[i];}
  vector<T>& operator[](int i) { return d[i];}
  Matrix operator*(const Matrix& a) const {
    assert(w == a.h);
    Matrix r(h, a.w);
    rep(i,h)rep(k,w)rep(j,a.w) {
      r[i][j] += d[i][k]*a[k][j];
    }
    return r;
  }
  Matrix pow(ll t) const {
    assert(h == w);
    if (!t) return Matrix(h,h).unit();
    if (t == 1) return *this;
    Matrix r = pow(t>>1);
    r = r*r;
    if (t&1) r = r*(*this);
    return r;
  }
};

signed main(){
  using mint = modint1000000007;
  int n, k;
  cin >> n >> k;
  vvl soinsu(100010); // 素因数分解
  for(int i = 2; i <= 100000; i++){
    int now = i;
    for(auto x : soinsu[i]) now /= x;
    if (now != 1){
      for(int j = i; j <= 100000; j += i) soinsu[j].push_back(now);
    }
  }
  vector<mint> ans(100010);
  for(int i = 2; i <= 100010; i++){
    while(n % i == 0) {
      ans[i]++;
      n /= i;
    }
  }
  rep(i, min(k, 100LL)){
    vector<mint> next(100010);
    rep(j, 100010){
      for(auto x : soinsu[j]){
        next[x] += ans[j-1];
      }
    }
    ans = next;
  }
  k -= min(k, 100LL);
  if (k == 0) {
    mint res = 1;
    rep(i,100010){
      if (ans[i].val()) res *= (mint(i)).pow(ans[i].val());
    }
    cout << res.val() << endl;
  } else {
    Matrix<mint> d(110,110);
    rep(i,110){
      for(auto x : soinsu[i]) d[x][i-1]++;
    }
    Matrix<mint> x(110,1);
    rep(i,110) x[i][0] = ans[i];
    rep(i, 110){
      rep(j,110){
        // if (d[i][j].val()) cout << i << " " << j << " " << d[i][j].val() << endl;
      }
    }
    rep(i,110){
      // if (x[i][0].val()) cout << i << " " << x[i][0].val() << endl;
    }
    x = d.pow(k)*x;
    mint res = 1;
    rep(i,110){
      if (x[i][0].val()) res *= (mint(i)).pow(x[i][0].val());
      // if (x[i][0].val()) cout << i << " " << x[i][0].val() << endl;
    }
    cout << res.val() << endl;
  }
}