#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll m = 1e9 + 7;
ll max_p[100010];
ll mpow(ll md, ll x, ll n) {
    ll ret = 1;
    while (n) {
        if (n % 2) {
            ret *= x;
            ret %= md;
        }
        x = (x * x) % md;
        n /= 2;
    }
    return ret;
}
ll calc_ans(ll N, ll K) {
    if (K == 0) {
        return N;
    }
    if (N == 2) {
        if (K % 2) {
            return mpow(m, 3, mpow(m - 1, 2, K / 2));
        } else {
            return mpow(m, 2, mpow(m - 1, 2, K / 2));
        }
    }
    if (N == 3) {
        if (K % 2) {
            return mpow(m, 2, mpow(m - 1, 2, (K + 1) / 2));
        } else {
            return mpow(m, 3, mpow(m - 1, 2, K / 2));
        }
    }
    ll ret = 1;
    while (N > 1) {
        ret *= calc_ans(max_p[(int)N] + 1, K - 1);
        N /= max_p[(int)N];
    }
    return ret;
}
int main () {
    max_p[0] = max_p[1] = 1;
    for (int i = 2; i <= 100000; i ++) {
        max_p[i] = -1;
    }
    for (int i = 2; i <= 100000; i ++) {
        if (max_p[i] == -1) {
            max_p[i] = i;
            for (int j = 2; j * i <= 100000; j ++) {
                max_p[i * j] = i;
            }
        }
    }
    ll N, K;
    cin >> N >> K;
    cout << calc_ans(N, K) << endl;
}