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12892687008 = 253361337171
BaseRepresentation
bin11000000000111011…
…01100101010100000
31020021111212100201020
430000131230222200
5202401011441013
65531155005440
7634331013525
oct140035545240
936244770636
1012892687008
115516649633
1225b9899880
1312a609a6a6
148a43d314c
15506d05623
hex30076caa0

12892687008 has 48 divisors (see below), whose sum is σ = 33853581216. Its totient is φ = 4296257280.

The previous prime is 12892686997. The next prime is 12892687009. The reversal of 12892687008 is 80078629821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12892687009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328263 + ... + 365433.

It is an arithmetic number, because the mean of its divisors is an integer number (705282942).

Almost surely, 212892687008 is an apocalyptic number.

It is an amenable number.

12892687008 is an abundant number, since it is smaller than the sum of its proper divisors (20960894208).

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

12892687008 is a wasteful number, since it uses less digits than its factorization.

12892687008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40797 (or 40789 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 12892687008 in words is "twelve billion, eight hundred ninety-two million, six hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3613 7226 10839 14452 21678 28904 37171 43356 57808 74342 86712 111513 115616 148684 173424 223026 297368 346848 446052 594736 892104 1189472 1784208 3568416 134298823 268597646 402896469 537195292 805792938 1074390584 1611585876 2148781168 3223171752 4297562336 6446343504 12892687008