#pragma region Macros // #pragma GCC target("avx2") #pragma GCC optimize("O3") #include #include #define rep(i, n) for (long long i = 0; i < (n); i++) #define rrep(i, n) for (long long i = (n - 1); i >= 0; i--) #define ALL(v) v.begin(), v.end() #define endl "\n" #define fi first #define se second #define popcount(bit) __builtin_popcount(bit) #define popcountll(bit) __builtin_popcountll(bit) #define pb push_back #define eb emplace_back using namespace std; using namespace atcoder; using P = pair; using PL = pair; using Graph = vector>; typedef long long ll; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; const int fx[8] = {0, 1, 1, 1, 0, -1, -1, -1}; const int fy[8] = {1, 1, 0, -1, -1, -1, 0, 1}; template const auto INF = numeric_limits::max()/2; using mint = modint1000000007; vector divisor(long long n) { vector ret; for (long long i = 1; i * i <= n; i++) { if (n % i == 0) { ret.push_back(i); if (i * i != n) ret.push_back(n / i); } } sort(ret.begin(), ret.end()); // 昇順に並べる return ret; } vector> prime_factorize(ll n) { vector> res; for (long long a = 2; a * a <= n; a++){ if(n % a != 0) continue; ll ex = 0; //指数 while(n % a == 0){ ex++; n /= a; } res.push_back(make_pair(a, ex)); } if(n != 1){ res.push_back(make_pair(n, 1)); } return res; } mint choose(ll n, ll a) { mint x = 1, y = 1; rep(i,a) { x *= n-i; y *= i+1; } return x / y; } int main() { ll n, k; cin >> n >> k; auto div = divisor(n); mint ans = 0; for(ll a : div){ auto d = prime_factorize(a); mint tmp = 1; for(auto pf : d){ ll num = pf.se; tmp *= choose(num + k - 1, num); } ans += tmp; } cout << ans.val() << endl; }