#include <algorithm>
#include <atcoder/all>
#include <bitset>
#include <cassert>
#include <cmath>
#include <ctime>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int, int>
#define pil pair<int, ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int, int>>
#define vpll vector<pair<ll, ll>>
#define vvpii vector<vector<pair<int, int>>>
#define vvpll vector<vector<pair<ll, ll>>>

template <typename T>
void debug(T e) {
    cerr << e << endl;
}

template <typename T>
void debug(vector<T> &v) {
    rep(i, v.size()) { cerr << v[i] << " "; }
    cerr << endl;
}

template <typename T>
void debug(vector<vector<T>> &v) {
    rep(i, v.size()) {
        rep(j, v[i].size()) { cerr << v[i][j] << " "; }
        cerr << endl;
    }
}

template <typename T>
void debug(vector<pair<T, T>> &v) {
    rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; }
}

template <typename T>
void debug(set<T> &st) {
    for (auto itr = st.begin(); itr != st.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(multiset<T> &ms) {
    for (auto itr = ms.begin(); itr != ms.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(map<T, T> &mp) {
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        cerr << itr->first << " " << itr->second << endl;
    }
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << H << " ";
    debug_out(T...);
}

using mint = modint1000000007;

void debug_mint1(vector<mint> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        cerr << vec[i].val() << " ";
    }
    cerr << endl;
}

void debug_mint2(vector<vector<mint>> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            cerr << vec[i][j].val() << " ";
        }
        cerr << endl;
    }
}

int main() {
    ll N, K;
    cin >> N >> K;
    
    vector<ll> vec(N + 3, 0);
    ll N_cpy = N;
    for (ll i = 2; i * i <= N; i++){
        while (N_cpy % i == 0){
            vec[i]++;
            N_cpy /= i;
        }
    }
    if (N_cpy != 1) vec[N_cpy]++;
    vector<vector<pll>> primes(N + 3, vector<pll>(0));
    for (ll i = 2; i <= N + 2; i++){
        ll div = i;
        for (ll j = 2; j * j <= i; j++){
            ll times = 0;
            while (div % j == 0){
                times++;
                div /= j;
            } 
            if (times > 0){
                primes[i].push_back(make_pair(j, times));
            }
        }
        if (div != 1){
            primes[i].push_back(make_pair(div, 1));
        }
    }
    ll rem = K;
    ll limit = 30;
    if (rem % 2 == 1) limit++;
    for (ll k = 1; k <= min(K, limit); k++){
        vector<ll> new_vec(N + 3, 0);
        for (ll i = 2; i <= N + 1; i++){
            for (ll j = 0; j < primes[i + 1].size(); j++){
                new_vec[primes[i + 1][j].first] += vec[i] * primes[i + 1][j].second;
            }
        }
        for (ll i = 2; i <= N + 2; i++){
            vec[i] = new_vec[i];
        }
        rem--;
    }
    if (rem == 0){
        mint ans = mint(1);
        for (ll i = 1; i <= N + 1; i++){
            ans *= mint(i).pow(vec[i]);
        }
        cout << ans.val() << endl;
    }
    else{
        mint ans = mint(1);
        ans *= mint(2).pow(vec[2] + (K - limit) / 2);
        ans *= mint(3).pow(vec[3] + (K - limit) / 2);
        cout << ans.val() << endl;
    }
}