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12534760944 = 243229101113263
BaseRepresentation
bin10111010110010000…
…10100010111110000
31012100120100211110100
423223020110113300
5201132344322234
65431451232400
7622423465356
oct135310242760
935316324410
1012534760944
115352600472
122519a48700
131249b9a914
1486ca617d6
154d56a3399
hex2eb2145f0

12534760944 has 240 divisors, whose sum is σ = 37113785280. Its totient is φ = 3943833600.

The previous prime is 12534760933. The next prime is 12534760969. The reversal of 12534760944 is 44906743521.

12534760944 is a `hidden beast` number, since 1 + 2 + 5 + 34 + 7 + 609 + 4 + 4 = 666.

It is a super-2 number, since 2×125347609442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12534760944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47660557 + ... + 47660819.

It is an arithmetic number, because the mean of its divisors is an integer number (154640772).

Almost surely, 212534760944 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 12534760944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556892640).

12534760944 is an abundant number, since it is smaller than the sum of its proper divisors (24579024336).

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

12534760944 is a wasteful number, since it uses less digits than its factorization.

12534760944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12534760944 in words is "twelve billion, five hundred thirty-four million, seven hundred sixty thousand, nine hundred forty-four".