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12486941592 = 23317232335711
BaseRepresentation
bin10111010000100011…
…11001101110011000
31012020020101100122020
423220101321232120
5201033124112332
65423022254440
7621303152346
oct135021715630
935206340566
1012486941592
11532860a044
122505a27420
13123ccc6c48
14866574996
154d13a982c
hex2e8479b98

12486941592 has 128 divisors (see below), whose sum is σ = 34644879360. Its totient is φ = 3730411520.

The previous prime is 12486941587. The next prime is 12486941617. The reversal of 12486941592 is 29514968421.

It is a happy number.

12486941592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 2183617 + ... + 2189327.

It is an arithmetic number, because the mean of its divisors is an integer number (270663120).

Almost surely, 212486941592 is an apocalyptic number.

12486941592 is a gapful number since it is divisible by the number (12) 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 12486941592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322439680).

12486941592 is an abundant number, since it is smaller than the sum of its proper divisors (22157937768).

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

12486941592 is a wasteful number, since it uses less digits than its factorization.

12486941592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5989 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 12486941592 in words is "twelve billion, four hundred eighty-six million, nine hundred forty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 233 276 391 408 466 552 699 782 932 1173 1398 1564 1864 2346 2796 3128 3961 4692 5359 5592 5711 7922 9384 10718 11422 11883 15844 16077 17133 21436 22844 23766 31688 32154 34266 42872 45688 47532 64308 68532 91103 95064 97087 128616 131353 137064 182206 194174 262706 273309 291261 364412 388348 394059 525412 546618 582522 728824 776696 788118 1050824 1093236 1165044 1330663 1576236 2186472 2233001 2330088 2661326 3152472 3991989 4466002 5322652 6699003 7983978 8932004 10645304 13398006 15967956 17864008 22621271 26796012 30605249 31935912 45242542 53592024 61210498 67863813 90485084 91815747 122420996 135727626 180970168 183631494 244841992 271455252 367262988 520289233 542910504 734525976 1040578466 1560867699 2081156932 3121735398 4162313864 6243470796 12486941592