#include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = uint32_t; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; template struct modint { ll val; modint(const ll x = 0) : val(x) { val = x; while(val < 0) val += M; while(val > M) val -= M; } modint operator+(const modint a) const { return modint(*this) += a; } modint operator-(const modint a) const { return modint(*this) -= a; } modint operator*(const modint a) const { return modint(*this) *= a; } modint operator/(const modint a) const { return modint(*this) /= a; } modint operator-() const { return modint(M-val); } modint inv() const { ll u = 1, v = 0, s = 0, t = 1, m = M, x = val; while (x) {ll q = m/x; swap(s -= q*u, u); swap(t -= q*v, v); swap(m -= q*x, x); } if(s < 0) s += M; return modint(s); } modint pow(ll n) const { ll u = 1, xx = val; while (n > 0){ if (n&1) u = u * xx % M; xx = xx * xx % M; n >>= 1; } return modint(u); } modint& operator+=(const modint a){ val += a.val; if(val >= M) val -= M; return *this; } modint& operator-=(const modint a){ val -= a.val; if(val < 0) val += M; return *this; } modint& operator*=(const modint a){ val = val * a.val % M; return *this; } modint& operator/=(const modint a){ val = val * a.inv().val % M; return *this;} modint& operator=(const int& x){ val = x; while(val < 0) val += M; while(val > M) val -= M; return *this; } }; class Factorial { using mint = modint; vector facts, factinv; public: explicit Factorial(int n) : facts(static_cast(n+1)), factinv(static_cast(n+1)) { facts[0] = 1; for (int i = 1; i < n+1; ++i) facts[i] = facts[i-1]*mint(i); factinv[n] = facts[n].inv(); for (int i = n-1; i >= 0; --i) factinv[i] = factinv[i+1] * mint(i+1); } mint fact(int k) const { if(k >= 0) return facts[k]; else return factinv[-k]; } mint operator[](const int &k) const { if(k >= 0) return facts[k]; else return factinv[-k]; } mint C(int p, int q) const { if(q < 0 || p < q) return 0; return facts[p] * factinv[q] * factinv[p-q]; } mint P(int p, int q) const { if(q < 0 || p < q) return 0; return facts[p] * factinv[p-q]; } mint H(int p, int q) const { if(p < 0 || q < 0) return 0; return q == 0 ? 1 : C(p+q-1, q); } }; using mint = modint; template vector divisor(T n){ vector ret; for(T i = 1; i * i <= n; i++) { if(n % i == 0) { ret.push_back(i); if(i * i != n) ret.push_back(n / i); } } sort(begin(ret), end(ret)); return(ret); } int main() { int n, k; cin >> n >> k; if(k == 1) cout << 0 << "\n"; else { Factorial f(n); auto v = divisor(n); int m = v.size(); vector dp(m); mint ans = 0; for (int i = 0; i < m; ++i) { if(n != v[i] && n%v[i] == 0 && k % (n/v[i]) == 0){ dp[i] = f.C(v[i], k/(n/v[i])); for (int j = 0; j < i; ++j) { if(v[i]%v[j] == 0) dp[i] -= dp[j]; } } ans += dp[i]; } cout << ans.val << "\n"; } return 0; }