A,B,N=map(int,input().split())

isPrime=[True]*(B+1)
isPrime[0]=isPrime[1]=False
for i in range(2,B+1):
    if not isPrime[i]:
        continue
    for j in range(i*i,B+1,i):
        isPrime[j]=False
MOD=10**9+7
ans=1

for p in range(B+1):
    if not isPrime[p]:
        continue
    pe=p
    while pe<=B:
        ans*=pow(p,pow(B//pe-(A-1)//pe,N,MOD),MOD)
        ans%=MOD
        pe*=p
print(ans)