def main():
correct_numbers = []
for i in range(2, 1000000):
if i == sum(x**POWER for x in helpers.int_to_digits(i)):
correct_numbers.append(i)
print(correct_numbers)
answer = sum(correct_numbers)
print(answer)
def is_curious(n):
return n == sum(factorial(x) for x in helpers.int_to_digits(n))
def main():
answer = max(
sum(helpers.int_to_digits(a**b)) for a in range(100)
for b in range(100))
print(answer)
def main():
answer = sum(helpers.int_to_digits(2**1000))
print(answer)
def main():
factorial = math.factorial(100)
answer = sum(helpers.int_to_digits(factorial))
print(answer)