#include <stdio.h>
#include <vector>
using namespace std;
#define PB push_back
typedef long long int ll;
constexpr int kMod = int(1E9 + 7), kN = int(1E7 + 10);

bool is_prime[kN];
vector<int> prime;

ll Pow(ll a, ll b, ll m) {
	ll ans = 1;
	while (b) {
		if (b & 1) ans = ans * a % m;
		a = a * a % m;
		b >>= 1;
	}
	return ans;
}

void pre() {
	for (int i = 2; i < kN; i++) is_prime[i] = true;
	for (int i = 2; i < kN; i++) {
		if (is_prime[i]) prime.PB(i);
		for (int j : prime) {
			if (i * j >= kN) break;
			is_prime[i * j] = false;
			if (i % j == 0) break;
		}
	}
	return ;
}

int main() {
	ll ans = 1, a, b, n, tmp;
	scanf("%lld%lld%lld", &a, &b, &n);
	pre();
	for (int i : prime) {
		tmp = i;
		while (tmp <= b) {
			ans = ans * Pow(i, Pow(b / tmp - (a - 1) / tmp, n, kMod - 1), kMod) % kMod;
			tmp *= i;
		}
	}
	printf("%lld\n", ans);
}