#include using namespace std; template struct PrimeFact{ vector spf; PrimeFact(T N){ init(N); } void init(T N){ spf.assign(N + 1, 0); for(T i = 0; i <= N; i++) spf[i] = i; for(T i = 2; i * i <= N; i++) { if(spf[i] == i) { for(T j = i * i; j <= N; j += i){ if(spf[j] == j){ spf[j] = i; } } } } } map get(T n){ map m; while(n != 1){ if(m.count(spf[n]) == 0){ m[spf[n]] = 1; }else{ m[spf[n]]++; } n /= spf[n]; } return m; } }; template T modpow(T x, T n, const T &m){ T ret = 1 % m; x %= m; while(n > 0){ if(n & 1) (ret *= x) %= m; (x *= x) %= m; n >>= 1; } return ret; } struct Combination{ vector memo, memoinv, inv; const long long mod; Combination(const int &N, const long long &m) : memo(N + 1), memoinv(N + 1), inv(N + 1), mod(m){ memo[0] = memo[1] = 1; memoinv[0] = memoinv[1] = 1; inv[1] = 1; for(int i = 2; i <= N; ++i){ memo[i] = memo[i - 1] * i % mod; inv[i] = mod - inv[mod % i] * (m / i) % mod; memoinv[i] = memoinv[i - 1] * inv[i] % mod; } } inline long long fact(const long long &n) const { return memo[n]; } inline long long factinv(const long long &n) const { return memoinv[n]; } inline long long ncr(const long long &n, const long long &r) const { if(n < r || r < 0) return 0; return (memo[n] * memoinv[r] % mod) * memoinv[n - r] % mod; } inline long long npr(const long long &n, const long long &r) const { if(n < r || r < 0) return 0; return (memo[n] % mod) * memoinv[n - r] % mod; } inline long long nhr(const long long &n, const long long &r) const { if(n == 0 && r == 0) return 1; return ncr(n + r - 1, r); } }; const long long MOD = 1000000007; int main(){ long long n, p; cin >> n >> p; long long ans = 0; PrimeFact spf(n); for(int i = 2; i <= n; i++){ map mp = spf.get(i); for(auto [k, x] : mp){ if(k == p){ ans += x; } } } Combination comb(n, MOD); Combination comb2(n, MOD - 1); long long e = modpow(comb.fact(n), comb2.fact(n), MOD); ans *= e; ans %= MOD; cout << ans << "\n"; }