#include using namespace std; #ifdef LOCAL #include "settings/debug.cpp" #define _GLIBCXX_DEBUG #else #define Debug(...) void(0) #endif using ll = long long; #define rep(i, n) for (int i = 0; i < (n); ++i) #include using mint = atcoder::modint1000000007; int main() { ll n, k; cin >> n >> k; vector> pf(0); for (int i = 2; i * i <= n; ++i) { if (n % i == 0) { pf.push_back({ i, 0 }); while (n % i == 0) { n /= i; pf.back().second++; } } } if (n > 1) pf.push_back({ n, 1 }); mint ans = 1; for (auto [p, e] : pf) { ans *= mint(p + (k % p)).pow((mint(e) * mint(2).pow(k / p)).val()); } cout << ans.val() << endl; return 0; }