from collections import defaultdict

IsPrime = [True for _ in range(10**5 + 1)]
IsPrime[0] = IsPrime[1] = False
Primes = []
for i in range(2, 10**5 + 1):
    if IsPrime[i]:
        Primes.append(i)
        for j in range(i * i, 10**5 + 1, i):
            IsPrime[j] = False

n, k = map(int, input().split())
mod = 10**9 + 7

P = defaultdict(int)
seen = set()
for prime in Primes:
    while n % prime == 0:
        seen.add(prime)
        P[prime] += 1
        n //= prime
C = [(p, c) for p, c in P.items()]
while not (len(seen) <= 2 and (2 in seen or 3 in seen)) and k > 0:
    k -= 1
    P = defaultdict(int)
    seen = set()
    for p, c in C:
        p += 1
        if IsPrime[p]:
            seen.add(p)
            P[p] += c
        else:
            for prime in Primes:
                while p % prime == 0:
                    seen.add(prime)
                    P[prime] += c
                    p //= prime
                if p == 1:
                    break
    C = [(p, c) for p, c in P.items()]

if k > 0:
    q, r = divmod(k, 2)
    P = defaultdict(int)
    for p, c in C:
        if p == 2:
            if r == 0:
                P[2] += c * pow(2, q, mod - 1)
            else:
                P[3] += c * pow(2, q + 1, mod - 1)
        else:
            if r == 0:
                P[3] += c * pow(2, q, mod - 1)
            else:
                P[2] += c * pow(2, q + 1, mod - 1)
    C = [(p, c) for p, c in P.items()]

ans = 1
for p, c in C:
    ans *= pow(p, c, mod)
    ans %= mod
print(ans)