a, b, n = [int(i) for i in input().split()]

ans = 1
mod = 10**9+7

table = [True] * (b + 1)
table[0] = False
table[1] = False
for i in range(b + 1):
    if table[i]:
        for j in range(i * i, b + 1, i):
            table[j] = False

        lower = (a-1)//i
        upper = b // i
        power = 0
        while True:
            power += pow(upper - lower, n, mod - 1)
            power%=mod-1
            lower //= i
            upper //= i
            if upper - lower == 0:
                break
        ans *= pow(i, power, mod)
        ans %= mod
print(ans)