def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

from collections import Counter

MOD = 10 ** 9 + 7

n, k = map(int, input().split())
k += 1
pr = Counter(prime_factorize(n))
d = dict()
for ky, v in pr.items():
    d[ky] = [0] * (v + 1)
    d[ky][0] = 1
t = [1] * 51
while k > 0:
    if k & 1:
        for ky, v in pr.items():
            tmp = [0] * (v + 1)
            for i in range(v + 1):
                for j in range(v - i + 1):
                    tmp[i + j] += d[ky][i] * t[j]
            d[ky] = tmp[:]
            for i in range(v + 1):
                d[ky][i] %= MOD
    tmp = [0] * 51
    for i in range(51):
        for j in range(51 - i):
            tmp[i + j] += t[i] * t[j]
    t = tmp[:]
    for i in range(51):
        t[i] %= MOD
    k >>= 1
ans = 1
for ky, v in pr.items():
    ans *= d[ky][v]
    ans %= MOD
print(ans)