def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

def func(x,p):
    res = 0
    li = factorization(p)
    p = li[-1][0]
    y = p
    while x//y != 0:
        res += x//y
        y*=p
    return res
MOD = 10**9+7
N,P = map(int,input().split())
tmp = 1
for i in range(2,N+1):
    tmp = (tmp*i)%MOD

print(func(N,P)*pow(tmp,tmp,MOD)%MOD)