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20491349904 = 24327921512
BaseRepresentation
bin10011000101011000…
…010010111110010000
31221220002002102121100
4103011120102332100
5313431241144104
613225200424400
71323536412624
oct230530227620
957802072540
1020491349904
118765918523
123b7a618100
131c1742171c
14dc5669184
157ede76139
hex4c5612f90

20491349904 has 135 divisors (see below), whose sum is σ = 58469622939. Its totient is φ = 6699326400.

The previous prime is 20491349899. The next prime is 20491349929. The reversal of 20491349904 is 40994319402.

The square root of 20491349904 is 143148.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 20491349904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135704229 + ... + 135704379.

Almost surely, 220491349904 is an apocalyptic number.

20491349904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20491349904 is the 143148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20491349904

20491349904 is an abundant number, since it is smaller than the sum of its proper divisors (37978273035).

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

20491349904 is an equidigital number, since it uses as much as digits as its factorization.

20491349904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20491349904 in words is "twenty billion, four hundred ninety-one million, three hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 151 158 237 302 316 453 474 604 632 711 906 948 1208 1264 1359 1422 1812 1896 2416 2718 2844 3624 3792 5436 5688 6241 7248 10872 11376 11929 12482 18723 21744 22801 23858 24964 35787 37446 45602 47716 49928 56169 68403 71574 74892 91204 95432 99856 107361 112338 136806 143148 149784 182408 190864 205209 214722 224676 273612 286296 299568 364816 410418 429444 449352 547224 572592 820836 858888 898704 942391 1094448 1641672 1717776 1801279 1884782 2827173 3283344 3602558 3769564 5403837 5654346 7205116 7539128 8481519 10807674 11308692 14410232 15078256 16211511 16963038 21615348 22617384 28820464 32423022 33926076 43230696 45234768 64846044 67852152 86461392 129692088 135704304 142301041 259384176 284602082 426903123 569204164 853806246 1138408328 1280709369 1707612492 2276816656 2561418738 3415224984 5122837476 6830449968 10245674952 20491349904