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12558003864 = 23372329112069
BaseRepresentation
bin10111011001000001…
…11110111010011000
31012102012002200202020
423230200332322120
5201204322110424
65434041334440
7623125162110
oct135440767230
935365080666
1012558003864
11536473619a
122525797420
131251948123
14871b92040
154d7745079
hex2ec83ee98

12558003864 has 128 divisors (see below), whose sum is σ = 38731392000. Its totient is φ = 3313626624.

The previous prime is 12558003859. The next prime is 12558003949. The reversal of 12558003864 is 46830085521.

It is a super-2 number, since 2×125580038642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56022 + ... + 168090.

It is an arithmetic number, because the mean of its divisors is an integer number (302589000).

Almost surely, 212558003864 is an apocalyptic number.

12558003864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12558003864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365696000).

12558003864 is an abundant number, since it is smaller than the sum of its proper divisors (26173388136).

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

12558003864 is a wasteful number, since it uses less digits than its factorization.

12558003864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112137 (or 112133 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12558003864 in words is "twelve billion, five hundred fifty-eight million, three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 56 58 69 84 87 92 116 138 161 168 174 184 203 232 276 322 348 406 483 552 609 644 667 696 812 966 1218 1288 1334 1624 1932 2001 2436 2668 3864 4002 4669 4872 5336 8004 9338 14007 16008 18676 28014 37352 56028 112056 112069 224138 336207 448276 672414 784483 896552 1344828 1568966 2353449 2577587 2689656 3137932 3250001 4706898 5155174 6275864 6500002 7732761 9413796 9750003 10310348 13000004 15465522 18043109 18827592 19500006 20620696 22750007 26000008 30931044 36086218 39000012 45500014 54129327 61862088 68250021 72172436 74750023 78000024 91000028 108258654 136500042 144344872 149500046 182000056 216517308 224250069 273000084 299000092 433034616 448500138 523250161 546000168 598000184 897000276 1046500322 1569750483 1794000552 2093000644 3139500966 4186001288 6279001932 12558003864