#include <bits/stdc++.h>
using namespace std;
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) begin(v),end(v)
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
using ll = long long;
using pii = pair<int, int>;
constexpr ll INF = 1ll<<30;
constexpr ll longINF = 1ll<<60;
constexpr ll MOD = 1000000007;
constexpr bool debug = false;
//---------------------------------//

std::vector<int> sieve(int n) {
	std::vector<int> res;
	std::vector<bool> is_prime(n + 1, true);
	is_prime[0] = is_prime[1] = false;
	for (int i = 2; i * i <= n; i++) {
		if (!is_prime[i]) continue;
		for (int j = i * i; j <= n; j += i) is_prime[j] = false;
	}
	for (int i = 2; i <= n; ++i) if (is_prime[i]) res.emplace_back(i);
	return res;
}

namespace tk {
template<typename T>
T mod_pow(T x, T n, const T & mod) {
	assert(mod > 0);
	assert(n >= 0);
	x = (x % mod + mod) % mod;
	T res = 1 % mod;
	while (n > 0) {
		if (n & 1) res = res * x % mod;
		x = x * x % mod;
		n >>= 1;
	}
	return res;
}
} // namespace tk

int main() {
	int A, B, N;
	cin >> A >> B >> N;
	
	auto primes = sieve(B);
	ll ans = 1;
	for (int p : primes) {
		for (ll p2 = p; p2 <= B; p2 *= p) {
			int po = tk::mod_pow<ll>(B / p2 - (A - 1) / p2, N, MOD - 1);
			ans = ans * tk::mod_pow<ll>(p, po, MOD) % MOD;
		}
	}
	cout << ans << endl;
}