#include using namespace std; typedef long long ll; typedef pair l_l; typedef pair i_i; template inline bool chmax(T &a, T b) { if(a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return true; } return false; } #define EPS (1e-7) #define INF (1e9) #define PI (acos(-1)) const ll mod = 1000000007; ll inv[10000100]; ll FactorialInv[10000100]; ll Factorial[10000100]; ll beki(ll a, ll b){ if(b == 0){ return 1; } ll ans = beki(a, b / 2); ans = ans * ans % mod; if(b % 2 == 1){ ans = ans * a % mod; } return ans; } void init_combination(){ const int MAX = 10000002; Factorial[0] = 1; inv[0] = 1; for(int i = 1; i <= MAX; i++){ Factorial[i] = Factorial[i - 1] * i % mod; } FactorialInv[MAX] = beki(Factorial[MAX], mod - 2); for(ll i = MAX - 1; i >= 0; i--) { FactorialInv[i] = FactorialInv[i+1] * (i+1) % mod; } for(int i = 1; i <= MAX; i++) { inv[i] = FactorialInv[i] * Factorial[i-1] % mod; } } ll combination(ll a, ll b){ if((a == b) || (b == 0)){ return 1; } if(a < b) return 0; ll ans = Factorial[a] * FactorialInv[b] % mod; ans = ans * FactorialInv[a - b] % mod; return ans; } ll N, K; map mp; vector f(ll x) { vector v; v.push_back(1); for(ll i = 2; i * i <= N; i++) { if(x % i != 0) continue; v.push_back(i); if(i * i != N) v.push_back(N / i); } sort(v.begin(), v.end()); return v; } vector g(ll x) { vector ret; for(ll i = 2; i * i <= x; i++) { if(x % i == 0) { ret.push_back(i); while(x % i == 0) x /= i; } } if(x != 1) ret.push_back(x); return ret; } int counter(ll a) { if(a == 0) return 0; return (a & 1) + counter(a >> 1); } int main() { init_combination(); cin >> N >> K; vector divisors = f(N); ll ans = 0; for(auto range : divisors) { ll val = N / range; if(K % val != 0) continue; ll now = combination(range, K / val); mp[range] = now; //cerr << val << " " << range << " " << now << endl; vector p = g(range); for(ll bit = 1; bit < (1LL << (int)p.size()); bit++) { ll nowrange = range; for(int i = 0; i < p.size(); i++) { if(bit & (1LL << i)) nowrange /= p[i]; } if(counter(bit) & 1LL) now -= mp[nowrange]; else now += mp[nowrange]; now += mod; now %= mod; } now %= mod; now += mod; now %= mod; ans = (ans + now) % mod; } cout << ans << endl; return 0; }