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12328253892 = 22331953113357
BaseRepresentation
bin10110111101101001…
…00011100111000100
31011211011210012001000
423132310203213010
5200222013111032
65355153133300
7614335300113
oct133664434704
934734705030
1012328253892
115256a83689
12248085a230
1312161758b6
1484d467c7a
154c24b0e7c
hex2ded239c4

12328253892 has 96 divisors (see below), whose sum is σ = 34279459200. Its totient is φ = 3819643776.

The previous prime is 12328253881. The next prime is 12328253929. The reversal of 12328253892 is 29835282321.

12328253892 is a `hidden beast` number, since 1 + 2 + 3 + 28 + 2 + 538 + 92 = 666.

It is a super-2 number, since 2×123282538922 (a number of 21 digits) contains 22 as substring.

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, 52078 + ... + 165434.

It is an arithmetic number, because the mean of its divisors is an integer number (357077700).

Almost surely, 212328253892 is an apocalyptic number.

12328253892 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 12328253892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139729600).

12328253892 is an abundant number, since it is smaller than the sum of its proper divisors (21951205308).

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

12328253892 is a wasteful number, since it uses less digits than its factorization.

12328253892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113442 (or 113434 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12328253892 in words is "twelve billion, three hundred twenty-eight million, two hundred fifty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 53 54 57 76 106 108 114 159 171 212 228 318 342 477 513 636 684 954 1007 1026 1431 1908 2014 2052 2862 3021 4028 5724 6042 9063 12084 18126 27189 36252 54378 108756 113357 226714 340071 453428 680142 1020213 1360284 2040426 2153783 3060639 4080852 4307566 6007921 6121278 6461349 8615132 12015842 12242556 12922698 18023763 19384047 24031684 25845396 36047526 38768094 54071289 58152141 72095052 77536188 108142578 114150499 116304282 162213867 216285156 228300998 232608564 324427734 342451497 456601996 648855468 684902994 1027354491 1369805988 2054708982 3082063473 4109417964 6164126946 12328253892