#include<bits/stdc++.h> #include<atcoder/all> using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; #define FOR(i,l,r) for(ll i=l;i<r;i++) #define REP(i,n) FOR(i,0,n) #define RFOR(i,l,r) for(ll i=r-1;i>=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #define PA pair<ll,ll> #define F first #define S second #define BS(A,x) binary_search(ALL(A),x) #define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin()) #define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin()) #define COU(A,x) (UB(A,x)-LB(A,x)) #define sz(c) ((ll)(c).size()) /* #include<boost/multiprecision/cpp_int.hpp> namespace mp=boost::multiprecision; using Bint=mp::cpp_int; */ template<typename T>using min_priority_queue=priority_queue<T,vector<T>,greater<T>>; template<typename T1,typename T2>ostream&operator<<(ostream&os,pair<T1,T2>&p){os<<p.F<<" "<<p.S;return os;} template<typename T1,typename T2>istream&operator>>(istream&is,pair<T1,T2>&p){is>>p.F>>p.S;return is;} template<typename T>ostream&operator<<(ostream&os,vector<T>&v){REP(i,sz(v))os<<v[i]<<(i+1!=sz(v)?" ":"");return os;} template<typename T>istream&operator>>(istream&is,vector<T>&v){for(T&in:v)is>>in;return is;} template<class T>bool chmax(T&a,T b){if(a<b){a=b;return 1;}return 0;} template<class T>bool chmin(T&a,T b){if(b<a){a=b;return 1;}return 0;} ld dist(ld x1,ld y1,ld x2,ld y2){return sqrtl((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));} using mint=modint1000000007; //using mint=modint998244353; const ll mod=1000000007; //const ll mod=998244353; //using mint=modint; ostream&operator<<(ostream&os,mint&a){os<<a.val();return os;} vector<ll>fast_mod_convolution(vector<ll>&a,vector<ll>&b,ll mod){ const ll m1=167772161,m2=469762049,m3=1224736769; const ll m1_inv_m2=inv_mod(m1,m2); const ll m12_inv_m3=inv_mod(m1*m2,m3); const ll m12_mod=m1*m2%mod; auto x=convolution<m1>(a,b); auto y=convolution<m2>(a,b); auto z=convolution<m3>(a,b); vector<ll>ret(sz(a)+1); REP(i,sz(a)+1){ ll v1=(y[i]-x[i])*m1_inv_m2%m2;if(v1<0)v1+=m2; ll v2=(z[i]-(x[i]+m1*v1)%m3)*m12_inv_m3%m3;if(v2<0)v2+=m3; ret[i]=(x[i]+m1*v1+m12_mod*v2)%mod; } return ret; } int main(){ ll N,K;cin>>N>>K; vector<ll>F; ll d=2; while(d*d<=N){ ll c=0; while(N%d==0)c++,N/=d; if(c)F.emplace_back(c); d++; } if(N>1)F.emplace_back(1); mint ans=1; for(auto e:F){ REP(i,e)ans=ans*(e+K-i)/(i+1); } cout<<ans<<endl; return 0; }