#include using namespace std; using i64 = long long; const int P = 1e9 + 7; int qpow(int b, i64 k, int p = P) { int ret = 1; while(k > 0) { if(k & 1) ret = (i64)ret * b % p; b = (i64)b * b % p; k >>= 1; } return ret; } int main() { int n; i64 k; cin >> n >> k; int c2 = 0, c3 = 0; while(n % 2 == 0) { n /= 2; c2 ++; } while(n % 3 == 0) { n /= 3; c3 ++; } while(k > 0 && n > 1) { swap(c2, c3); (c2 *= 2) %= P; int nxtn = 1; for(int j = 2; j <= n; j ++) { int cnt = 0; while(n % j == 0) { nxtn *= j + 1; n /= j; } } n = nxtn; while(n % 2 == 0) { n /= 2; c2 ++; } while(n % 3 == 0) { n /= 3; c3 ++; } k --; } c3 = c3 * (i64)qpow(2, k - k / 2, P - 1) % (P - 1); c2 = c2 * (i64)qpow(2, k / 2, P - 1) % (P - 1); if(k & 1) swap(c2, c3); cout << (i64)qpow(2, c2) * qpow(3, c3) % P * n % P; }