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12663234342 = 232111927112421
BaseRepresentation
bin10111100101100100…
…11001111100100110
31012200112002221211100
423302302121330212
5201413241444332
65452321020530
7625543500363
oct136262317446
935615087740
1012663234342
11540907a430
122554a84746
13126a6a0595
14881b4546a
154e1ace67c
hex2f2c99f26

12663234342 has 96 divisors (see below), whose sum is σ = 31625418240. Its totient is φ = 3621672000.

The previous prime is 12663234319. The next prime is 12663234347. The reversal of 12663234342 is 24343236621.

12663234342 is a `hidden beast` number, since 1 + 26 + 63 + 234 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12663234297 and 12663234306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663234347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013292 + ... + 1025712.

It is an arithmetic number, because the mean of its divisors is an integer number (329431440).

Almost surely, 212663234342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663234342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812709120).

12663234342 is an abundant number, since it is smaller than the sum of its proper divisors (18962183898).

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

12663234342 is a wasteful number, since it uses less digits than its factorization.

12663234342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12727 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 12663234342 in words is "twelve billion, six hundred sixty-three million, two hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 271 342 418 542 627 813 1254 1626 1881 2439 2981 3762 4878 5149 5962 8943 10298 12421 15447 17886 24842 26829 30894 37263 46341 53658 56639 74526 92682 111789 113278 136631 169917 223578 235999 273262 339834 409893 471998 509751 707997 819786 1019502 1229679 1415994 2123991 2459358 2595989 3366091 4247982 5191978 6732182 7787967 10098273 15575934 20196546 23363901 30294819 37027001 46727802 60589638 63955729 74054002 111081003 127911458 191867187 222162006 333243009 383734374 575601561 666486018 703513019 1151203122 1407026038 2110539057 4221078114 6331617171 12663234342