A, B, N = map(int, input().split())

mod = 10 ** 9 + 7
mod2 = 10 ** 9 + 6

A -= 1
B1 = B + 1
cnt = [0] * B1
for i in range(1, B1):
    cnt[i] = pow(B // i - A // i, N, mod2)
for i in range(B // 2, 1, -1):
    for n in range(2 * i, B1, i):
        cnt[i] -= cnt[n]
    cnt[i] %= mod2

ret = 1
for i in range(2, B1):
    ret = ret * pow(i, cnt[i], mod) % mod
print(ret)