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12752845902 = 2341741532131
BaseRepresentation
bin10111110000010000…
…01111110001001110
31012220202201200210000
423320020033301032
5202104212032102
65505241425130
7631012254516
oct137010176116
935822650700
1012752845902
115454715975
12257aa9b1a6
131283117784
1488d9d0846
154e98d101c
hex2f820fc4e

12752845902 has 160 divisors (see below), whose sum is σ = 31594346784. Its totient is φ = 3827865600.

The previous prime is 12752845829. The next prime is 12752845913. The reversal of 12752845902 is 20954825721.

12752845902 is a `hidden beast` number, since 1 + 2 + 7 + 52 + 8 + 4 + 590 + 2 = 666.

12752845902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5983377 + ... + 5985507.

Almost surely, 212752845902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752845902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797173392).

12752845902 is an abundant number, since it is smaller than the sum of its proper divisors (18841500882).

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

12752845902 is a wasteful number, since it uses less digits than its factorization.

12752845902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12752845902 in words is "twelve billion, seven hundred fifty-two million, eight hundred forty-five thousand, nine hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 53 54 81 82 102 106 123 153 159 162 246 306 318 369 459 477 697 738 901 918 954 1107 1377 1394 1431 1802 2091 2131 2173 2214 2703 2754 2862 3321 4182 4262 4293 4346 5406 6273 6393 6519 6642 8109 8586 12546 12786 13038 16218 18819 19179 19557 24327 36227 36941 37638 38358 39114 48654 56457 57537 58671 72454 72981 73882 87371 108681 110823 112914 112943 115074 117342 145962 172611 174742 176013 217362 221646 225886 262113 326043 332469 338829 345222 352026 524226 652086 664938 677658 786339 978129 997407 1016487 1485307 1572678 1920031 1956258 1994814 2032974 2359017 2934387 2970614 2992221 3049461 3840062 4455921 4630663 4718034 5760093 5868774 5984442 6098922 7077051 8911842 9148383 9261326 11520186 13367763 13891989 14154102 17280279 18296766 26735526 27783978 34560558 40103289 41675967 51840837 78721271 80206578 83351934 103681674 120309867 125027901 155522511 157442542 236163813 240619734 250055802 311045022 375083703 472327626 708491439 750167406 1416982878 2125474317 4250948634 6376422951 12752845902