#include #include using ll = long long; #define MOD 1000000007 #define Mod 998244353 const int MAX = 1000000005; const long long INF = 1000000000000000005LL; using namespace std; using namespace atcoder; using mint = modint1000000007; class factorial { private: vector fact; vector ifact; public: factorial(const int& n) : fact(n + 1), ifact(n + 1) { fact[0] = 1; for (int i = 1; i <= n; i++) { fact[i] = fact[i - 1] * i; } ifact[n] = fact[n].inv(); for (int i = n; i >= 1; i--) { ifact[i - 1] = ifact[i] * i; } } mint comb(const int& n, const int& k) { if (k < 0 or k > n) { return 0; } return fact[n] * ifact[k] * ifact[n - k]; } mint get_fact(const int& n) { return fact[n]; } mint get_ifact(const int& n) { return ifact[n]; } }; int main() { ios::sync_with_stdio(0);cin.tie(); int N, P; cin >> N >> P; factorial f(N); ll c = 0; const int M = 1000000006; for (int i = 1; i <= N; i++) { int n = i; while (n%P == 0) { c++; n /= P; } } mint ans = f.get_fact(N).pow(f.get_fact(N).val() % M) * mint(c); cout << ans.val() << endl; }