maxage = 0
maxnum = 0
for num in range(10 ** 15):
    n = 1
    age = 0
    numz = num
    #print(' num =', num)
    while True:
        if int(numz) > 10:
            for i in range (len(str(numz))):
                numz = str(numz)
                n *= int(numz[0])
                numz = numz[1::]
            age += 1
        else:
            #print('\n age =', age)
            break
        #print(age, 'yr =', n)
        numz = n
        n = 1
    if age > maxage:
        maxage = age
        maxnum = num
        print('newmaxage =', maxage)
        print('newmaxnum =', maxnum)
    if num % 1000000 == 0:
        print(num / 1000000)

print('maxage =', maxage)
print('maxnum =', maxnum)