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42504022512 = 2433714055563
BaseRepresentation
bin100111100101011011…
…111110100111110000
311001201011211001122000
4213211123332213300
51144022012210022
631305344414000
73033201141660
oct474533764760
9131634731560
1042504022512
111703145a236
1282a2617300
134014a8c8a3
1420b2d881a0
15118b7596ac
hex9e56fe9f0

42504022512 has 80 divisors (see below), whose sum is σ = 139431194880. Its totient is φ = 12144005568.

The previous prime is 42504022511. The next prime is 42504022541. The reversal of 42504022512 is 21522040524.

42504022512 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 402 + 251 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42504022511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7024758 + ... + 7030805.

It is an arithmetic number, because the mean of its divisors is an integer number (1742889936).

Almost surely, 242504022512 is an apocalyptic number.

42504022512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42504022512 is an abundant number, since it is smaller than the sum of its proper divisors (96927172368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42504022512 is a wasteful number, since it uses less digits than its factorization.

42504022512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14055587 (or 14055575 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 42504022512 in words is "forty-two billion, five hundred four million, twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 14055563 28111126 42166689 56222252 84333378 98388941 112444504 126500067 168666756 196777882 224889008 253000134 295166823 337333512 379500201 393555764 506000268 590333646 674667024 759000402 787111528 885500469 1012000536 1180667292 1518000804 1574223056 1771000938 2024001072 2361334584 2656501407 3036001608 3542001876 4722669168 5313002814 6072003216 7084003752 10626005628 14168007504 21252011256 42504022512