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21654316704 = 2532910971359
BaseRepresentation
bin10100001010101100…
…101010011010100000
32001220010102021010210
4110022230222122200
5323322001113304
613540423054120
71364420440446
oct241254523240
961803367123
1021654316704
11920232a709
124243ba1340
13207134a867
141095cb8b96
1586b0e8c89
hex50ab2a6a0

21654316704 has 96 divisors (see below), whose sum is σ = 59342976000. Its totient is φ = 6905170944.

The previous prime is 21654316699. The next prime is 21654316741. The reversal of 21654316704 is 40761345612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267777 + ... + 339135.

It is an arithmetic number, because the mean of its divisors is an integer number (618156000).

Almost surely, 221654316704 is an apocalyptic number.

21654316704 is a gapful number since it is divisible by the number (24) 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 21654316704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29671488000).

21654316704 is an abundant number, since it is smaller than the sum of its proper divisors (37688659296).

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

21654316704 is a wasteful number, since it uses less digits than its factorization.

21654316704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71510 (or 71502 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 21654316704 in words is "twenty-one billion, six hundred fifty-four million, three hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 109 116 174 218 232 327 348 436 464 654 696 872 928 1308 1392 1744 2616 2784 3161 3488 5232 6322 9483 10464 12644 18966 25288 37932 50576 71359 75864 101152 142718 151728 214077 285436 303456 428154 570872 856308 1141744 1712616 2069411 2283488 3425232 4138822 6208233 6850464 7778131 8277644 12416466 15556262 16555288 23334393 24832932 31112524 33110576 46668786 49665864 62225048 66221152 93337572 99331728 124450096 186675144 198663456 225565799 248900192 373350288 451131598 676697397 746700576 902263196 1353394794 1804526392 2706789588 3609052784 5413579176 7218105568 10827158352 21654316704