#from collections import defaultdict
n,K=map(int,input().split())
mod=10**9+7
d=dict()
i=2
while 1<n:
  while n%i==0:
    n//=i
    if i in d:d[i]+=1
    else:d[i]=1
  i+=1
  
L=[[k,v] for k,v in d.items()]

for i in range(1,K+1):
  nx=dict()
  if 2 in d:
    nx[3]=d[2]
  for k,v in d.items():
    if k==2:continue
    else:
      if (k+1)//2 in nx:nx[(k+1)//2]+=d[k]
      else:nx[(k+1)//2]=d[k]
      if 2 in nx:nx[2]+=d[k]
      else:nx[2]=d[k]
  d=nx
  if len(d)<=2 and set(list(d.keys())) in [{2,3},{2},{3}] :
    if 2 in d:d[2]*=pow(2,(K-i)//2,mod)
    if 3 in d:d[3]*=pow(2,(K-i)//2,mod)
    if (K-i)%2==1:
      nx=dict()
      if 3 in d:nx[2]=d[3]*2
      if 2 in d:nx[3]=d[2]
    break

ans=1
for k,v in nx.items():
  ans*=pow(k,v,mod)
  ans%=mod
print(ans)