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

int main() {
  ll a, b, n, ans = 1;
  scanf("%lld %lld %lld", &a, &b, &n);
  a--;
  ll cnt[b+1];
  ll ret, num, x;
  for(int g=b;g>=2;g--){
    ll tmp = b/g - a/g;
    ret = 1, num = tmp, x = n;
    for(;x;){
      if(x&1) ret = (ret*num)%Q;
      num=(num*num)%Q;
      x>>=1;
    }
    cnt[g] = ret;
    for(int k=2*g;k<=b;k+=g) cnt[g] -= cnt[k];
    ll t = abs(cnt[g])/Q + 1;
    cnt[g] = (cnt[g] + t*Q)%Q;
    ret = 1, num = g, x = cnt[g];
    for(;x;){
      if(x&1) ret = (ret*num)%P;
      num=(num*num)%P;
      x>>=1;
    }
    ans = (ans * ret)%P;
  }

  printf("%lld\n", ans);
}