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12696088392 = 2334136592287
BaseRepresentation
bin10111101001011111…
…01110111101001000
31012202210221010010000
423310233232331020
5202000144312032
65455453123000
7626422653651
oct136457567510
935683833100
1012696088392
11542567a139
122563a89460
131274434650
14886258528
154e491de7c
hex2f4beef48

12696088392 has 160 divisors (see below), whose sum is σ = 38371132800. Its totient is φ = 3898855296.

The previous prime is 12696088381. The next prime is 12696088399. The reversal of 12696088392 is 29388069621.

12696088392 is a `hidden beast` number, since 1 + 26 + 9 + 608 + 8 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×126960883922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12696088399) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5550273 + ... + 5552559.

It is an arithmetic number, because the mean of its divisors is an integer number (239819580).

Almost surely, 212696088392 is an apocalyptic number.

12696088392 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 12696088392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185566400).

12696088392 is an abundant number, since it is smaller than the sum of its proper divisors (25675044408).

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

12696088392 is a wasteful number, since it uses less digits than its factorization.

12696088392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12696088392 in words is "twelve billion, six hundred ninety-six million, eighty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 659 702 936 1053 1318 1404 1977 2106 2287 2636 2808 3954 4212 4574 5272 5931 6861 7908 8424 8567 9148 11862 13722 15816 17134 17793 18296 20583 23724 25701 27444 29731 34268 35586 41166 47448 51402 53379 54888 59462 61749 68536 71172 77103 82332 89193 102804 106758 118924 123498 142344 154206 164664 178386 185247 205608 213516 231309 237848 246996 267579 308412 356772 370494 427032 462618 493992 535158 616824 693927 713544 740988 802737 925236 1070316 1387854 1481976 1507133 1605474 1850472 2140632 2408211 2775708 3014266 3210948 4521399 4816422 5551416 6028532 6421896 9042798 9632844 12057064 13564197 18085596 19265688 19592729 27128394 36171192 39185458 40692591 54256788 58778187 78370916 81385182 108513576 117556374 122077773 156741832 162770364 176334561 235112748 244155546 325540728 352669122 470225496 488311092 529003683 705338244 976622184 1058007366 1410676488 1587011049 2116014732 3174022098 4232029464 6348044196 12696088392