#include <iostream>
#include <vector>
#define vll vector<ll>
using namespace std;
typedef long long int ll;
#define P 1000000007
#define Q 1000000006

inline ll mpow(ll a, ll x, ll p){
  ll ret = 1, num = a;
  for(;x;){
    if(x&1) ret = (ret*num)%p;
    num=(num*num)%p;
    x>>=1;
  }
  return ret;
}

int main() {
  ll a, b, n, ans = 1;
  scanf("%lld %lld %lld", &a, &b, &n);
  a--;
  vector<bool> pm(b+1, 1);
  for(int i=2;i<=b;i++){
    if(!pm[i]) continue;
    for(int j=2*i;j<=n;j+=i) pm[j] = 0;
  }

  for(int g=2;g<=b;g++){
    if(!pm[g]) continue;
    ll tmp = b/g - a/g;
    ll y = g;
    while(y<=b){
      ll num = mpow(tmp, n, P-1);
      ans = (ans * mpow(g, num, P))%P;
      y *= g;
    }
  }
  printf("%lld\n", ans);
}