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12153130505532 = 22322937314619719
BaseRepresentation
bin1011000011011001111100…
…0001101101010100111100
31121000211100120010202221100
42300312133001231110330
53043104102402134112
641503023204133100
72363014621564032
oct260663701552474
947024316122840
1012153130505532
113966128380105
121443436997190
136a205c6b8183
14300301028552
151611e67722dc
hexb0d9f06d53c

12153130505532 has 72 divisors (see below), whose sum is σ = 32638649752800. Its totient is φ = 3805640108928.

The previous prime is 12153130505479. The next prime is 12153130505539. The reversal of 12153130505532 is 23550503135121.

12153130505532 is a `hidden beast` number, since 1 + 2 + 1 + 53 + 1 + 3 + 0 + 50 + 553 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153130505539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157271232 + ... + 157348487.

It is an arithmetic number, because the mean of its divisors is an integer number (453314579900).

Almost surely, 212153130505532 is an apocalyptic number.

12153130505532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12153130505532 is an abundant number, since it is smaller than the sum of its proper divisors (20485519247268).

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

12153130505532 is a wasteful number, since it uses less digits than its factorization.

12153130505532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314619795 (or 314619790 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 12153130505532 in words is "twelve trillion, one hundred fifty-three billion, one hundred thirty million, five hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 1044 1073 1332 2146 3219 4292 6438 9657 12876 19314 38628 314619719 629239438 943859157 1258478876 1887718314 2831577471 3775436628 5663154942 9123971851 11326309884 11640929603 18247943702 23281859206 27371915553 34922788809 36495887404 46563718412 54743831106 69845577618 82115746659 104768366427 109487662212 139691155236 164231493318 209536732854 328462986636 337586958487 419073465708 675173916974 1012760875461 1350347833948 2025521750922 3038282626383 4051043501844 6076565252766 12153130505532