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12537577472 = 214732397
BaseRepresentation
bin10111010110100110…
…00100000000000000
31012100202122221000012
423223103010000000
5201134104434342
65432031444052
7622456436000
oct135323040000
935322587005
1012537577472
115354154582
12251a986628
13124a6458c4
1486d196000
154d5a5cb82
hex2eb4c4000

12537577472 has 240 divisors, whose sum is σ = 30827193600. Its totient is φ = 5086642176.

The previous prime is 12537577441. The next prime is 12537577561. The reversal of 12537577472 is 27477573521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12537577472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129253328 + ... + 129253424.

It is an arithmetic number, because the mean of its divisors is an integer number (128446640).

Almost surely, 212537577472 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 12537577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413596800).

12537577472 is an abundant number, since it is smaller than the sum of its proper divisors (18289616128).

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

12537577472 is an frugal number, since it uses more digits than its factorization.

12537577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 129 counting only the distinct ones).

The product of its digits is 2881200, while the sum is 50.

The spelling of 12537577472 in words is "twelve billion, five hundred thirty-seven million, five hundred seventy-seven thousand, four hundred seventy-two".