import sys
sys.setrecursionlimit(3*10**5)
n,k = map(int,input().split())
mod = 10**9+7

divs = [i for i in range(2*10**5)]
for i in range(2,2*10**5):
    if divs[i] != i:
        continue
    for j in range(i,2*10**5,i):
        divs[j] = min(divs[j],i)

def dfs(n,k):

    if k == 0:
        return n

    if n == 1:
        return 1

    if n == 2:
        s = (k+1)//2
        p = pow(2,s,mod-1)
        if k%2:
            return pow(3,p,mod)
        else:
            return pow(2,p,mod)




    
    ans = 1
    dic = {}
    now = n
    while now != 1:
        d = divs[now]
        dic[d] = dic.get(d,0)+1
        now //= d

    
    for d,num in dic.items():
        nd = d+1
        while nd != 1:
            nnd = divs[nd]
            ans *= pow(dfs(nnd,k-1),num,mod)
            nd //= nnd

    return ans

print(dfs(n,k))