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12540554424 = 23321713973709
BaseRepresentation
bin10111010110111100…
…11010110010111000
31012100222021011121200
423223132122302320
5201140340220144
65432215334200
7622523645106
oct135336326270
935328234550
1012540554424
1153558a8172
12251b981360
13124b148908
1486d72cc76
154d5e49c69
hex2eb79acb8

12540554424 has 96 divisors (see below), whose sum is σ = 36221094000. Its totient is φ = 3905934336.

The previous prime is 12540554393. The next prime is 12540554447. The reversal of 12540554424 is 42445504521.

12540554424 is a `hidden beast` number, since 1 + 2 + 540 + 55 + 44 + 24 = 666.

It is a super-2 number, since 2×125405544242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133282 + ... + 206990.

Almost surely, 212540554424 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 12540554424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110547000).

12540554424 is an abundant number, since it is smaller than the sum of its proper divisors (23680539576).

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

12540554424 is a wasteful number, since it uses less digits than its factorization.

12540554424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73877 (or 73870 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 12540554424 in words is "twelve billion, five hundred forty million, five hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 139 153 204 278 306 408 417 556 612 834 1112 1224 1251 1668 2363 2502 3336 4726 5004 7089 9452 10008 14178 18904 21267 28356 42534 56712 73709 85068 147418 170136 221127 294836 442254 589672 663381 884508 1253053 1326762 1769016 2506106 2653524 3759159 5012212 5307048 7518318 10024424 10245551 11277477 15036636 20491102 22554954 30073272 30736653 40982204 45109908 61473306 81964408 90219816 92209959 122946612 174174367 184419918 245893224 348348734 368839836 522523101 696697468 737679672 1045046202 1393394936 1567569303 2090092404 3135138606 4180184808 6270277212 12540554424