#include using namespace std; #include using namespace atcoder; using mint=modint1000000007; using ll=long long; using pp=pair; #define sr string #define vc vector #define fi first #define se second #define rep(i,n) for(int i=0;i<(int)n;i++) #define pb push_back #define all(v) v.begin(),v.end() #define pque priority_queue #define bpc(a) __builtin_popcount(a) struct modinv { int n; vector d; modinv(): n(2), d({0,1}) {} mint operator()(int i) { while (n <= i) d.push_back(-d[mint::mod()%n]*(mint::mod()/n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } invs; struct modfact { int n; vector d; modfact(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*n), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } facts; struct modfactinv { int n; vector d; modfactinv(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*invs(n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } ifacts; mint comb(int n, int k) { if (n < k || k < 0) return 0; return facts(n)*ifacts(k)*ifacts(n-k); } int main(){ ll n,k;cin>>n>>k; vcp(1e6+1,1); mint ans=1; for(ll i=2;i*i<=n;i++)if(p[i]){ for(ll j=i;j<=1e6;j+=i)p[j]=0; int t=0; while(n%i==0)n/=i,t++; mint res=1; for(int j=1;j<=t;j++)res+=comb(k-1+j,j); ans*=res; } if(n>1)ans+=ans*k; cout<