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12644740608 = 29317094817
BaseRepresentation
bin10111100011010111…
…10110111000000000
31012122020022101012020
423301223312320000
5201344023144413
65450420401440
7625230343653
oct136153667000
935566271166
1012644740608
1153a9698855
12254a846280
1312668c6946
1487d4cd89a
154e0179c23
hex2f1af6e00

12644740608 has 80 divisors (see below), whose sum is σ = 33713087760. Its totient is φ = 4211572736.

The previous prime is 12644740601. The next prime is 12644740621. The reversal of 12644740608 is 80604744621.

12644740608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12644740608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12644740601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2622616 + ... + 2627432.

It is an arithmetic number, because the mean of its divisors is an integer number (421413597).

Almost surely, 212644740608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12644740608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856543880).

12644740608 is an abundant number, since it is smaller than the sum of its proper divisors (21068347152).

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

12644740608 is an equidigital number, since it uses as much as digits as its factorization.

12644740608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 12644740608 in words is "twelve billion, six hundred forty-four million, seven hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1709 3418 4817 5127 6836 9634 10254 13672 14451 19268 20508 27344 28902 38536 41016 54688 57804 77072 82032 109376 115608 154144 164064 218752 231216 308288 328128 437504 462432 616576 656256 875008 924864 1233152 1312512 1849728 2466304 2625024 3699456 7398912 8232253 16464506 24696759 32929012 49393518 65858024 98787036 131716048 197574072 263432096 395148144 526864192 790296288 1053728384 1580592576 2107456768 3161185152 4214913536 6322370304 12644740608