#include using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);i++) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() #define fi first #define se second template inline bool chmax(A &a, B b) { if (a inline bool chmin(A &a, B b) { if (a>b) { a=b; return 1; } return 0; } typedef long long ll; typedef pair pii; typedef pair pll; const ll INF = 1ll<<30; const ll longINF = 1ll<<60; const ll MOD = 1000000007; const double EPS = 1e-9; const bool debug = 0; //---------------------------------// vector findDivisor(ll n) { vector divisor; for (ll i = 1; i * i <= n; i++) { if (n % i == 0) { divisor.push_back(i); if (i * i != n) divisor.push_back(n / i); } } sort(ALL(divisor)); return divisor; } ll mod_pow(ll x, ll n, ll mod) { if (n == 0) return 1; ll res = mod_pow(x * x % mod, n / 2, mod); if (n & 1) res = res * x % mod; return res; } vector fact, inv; void fact_inv(int n, ll mod) { fact.resize(n + 1); inv.resize(n + 1); fact[0] = 1; FOR(i, 1, n + 1) fact[i] = fact[i - 1] * i % mod; inv[n] = mod_pow(fact[n], mod - 2, mod); for (int i = n; i > 0; i--) inv[i - 1] = inv[i] * i % mod; } // nCr % modを求める(modは素数) ll ncr(ll n, ll r, ll mod) { if (n < r || r < 0 || n < 0) return 0; return fact[n] * inv[r] % mod * inv[n - r] % mod; } int main() { fact_inv(2123456, MOD); ll N, K; cin >> N >> K; vector divisor = findDivisor(N); vector defelem; ll ans = 0; REP(i, divisor.size()) { if (divisor[i] == N) continue; int d = N / divisor[i]; if (K % d != 0) continue; int cc = K / d; ll cur = ncr(divisor[i], cc, MOD); REP(j, defelem.size()) if (divisor[i] % defelem[j].fi == 0) { cur = (cur - defelem[j].se + MOD) % MOD; } defelem.push_back(pll(divisor[i], cur)); ans += cur; } cout << ans << endl; return 0; }