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12072624504 = 2335352118217
BaseRepresentation
bin10110011111001010…
…11010000101111000
31011011100202212102220
423033211122011320
5144211042441004
65313542124040
7605112420663
oct131745320570
934140685386
1012072624504
115135755526
12240b120620
1311a5211ac5
148275246da
154a9d18dd9
hex2cf95a178

12072624504 has 64 divisors (see below), whose sum is σ = 30811739040. Its totient is φ = 3940485120.

The previous prime is 12072624479. The next prime is 12072624517. The reversal of 12072624504 is 40542627021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653604 + ... + 671820.

Almost surely, 212072624504 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 12072624504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405869520).

12072624504 is an abundant number, since it is smaller than the sum of its proper divisors (18739114536).

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

12072624504 is a wasteful number, since it uses less digits than its factorization.

12072624504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18800 (or 18796 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 12072624504 in words is "twelve billion, seventy-two million, six hundred twenty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 521 636 1042 1272 1563 2084 3126 4168 6252 12504 18217 27613 36434 54651 55226 72868 82839 109302 110452 145736 165678 218604 220904 331356 437208 662712 965501 1931002 2896503 3862004 5793006 7724008 9491057 11586012 18982114 23172024 28473171 37964228 56946342 75928456 113892684 227785368 503026021 1006052042 1509078063 2012104084 3018156126 4024208168 6036312252 12072624504