Search a number
-
+
21156637495824 = 243417394361653
BaseRepresentation
bin1001100111101111010011…
…10111001101001000010000
32202220112222102222011120000
410303313221313031020100
510233112243144331244
6112555120341450000
74312342125354645
oct463675167151020
982815872864500
1021156637495824
11681753034aa16
12245836b110900
13ba60a6cc113c
14531db57abdcc
1526a4ecc8c169
hex133de9dcd210

21156637495824 has 100 divisors (see below), whose sum is σ = 61587398162796. Its totient is φ = 7011448190208.

The previous prime is 21156637495801. The next prime is 21156637495879. The reversal of 21156637495824 is 42859473665112.

It is a happy number.

21156637495824 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 6 + 6 + 3 + 7 + 49 + 582 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20319719907600 + 836917588224 = 4507740^2 + 914832^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 46956619 + ... + 47405034.

Almost surely, 221156637495824 is an apocalyptic number.

21156637495824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21156637495824 is an abundant number, since it is smaller than the sum of its proper divisors (40430760666972).

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

21156637495824 is a wasteful number, since it uses less digits than its factorization.

21156637495824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94361846 (or 94361831 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 21156637495824 in words is "twenty-one trillion, one hundred fifty-six billion, six hundred thirty-seven million, four hundred ninety-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 324 346 432 519 648 692 1038 1296 1384 1557 2076 2768 3114 4152 4671 6228 8304 9342 12456 14013 18684 24912 28026 37368 56052 74736 112104 224208 94361653 188723306 283084959 377446612 566169918 754893224 849254877 1132339836 1509786448 1698509754 2264679672 2547764631 3397019508 4529359344 5095529262 6794039016 7643293893 10191058524 13588078032 15286587786 16324565969 20382117048 30573175572 32649131938 40764234096 48973697907 61146351144 65298263876 97947395814 122292702288 130596527752 146921093721 195894791628 261193055504 293842187442 391789583256 440763281163 587684374884 783579166512 881526562326 1175368749768 1322289843489 1763053124652 2350737499536 2644579686978 3526106249304 5289159373956 7052212498608 10578318747912 21156637495824