from math import ceil, sqrt
def Sieve(n):
    lst = [True] * (n + 1)
    lst[0] = lst[1] = False
    S = set()
    for i in range(2, ceil(sqrt(n)) + 1):
        if lst[i]:
            for j in range(2 * i, n + 1, i):
                lst[j] = False
    for i in range(2, n + 1):
        if lst[i]:
            S.add(i)
    return S


A, B, N = map(int, input().split())
mod = 10**9 + 7
ans = 1
for p in Sieve(B):
    now = p
    cnt = 0
    while now <= B:
        v = B // now - (A - 1) // now
        cnt += pow(v, N, mod - 1)
        cnt %= mod - 1
        now *= p
    ans *= pow(p, cnt, mod)
    ans %= mod
    
print(ans)