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21795788320 = 2553718120341
BaseRepresentation
bin10100010011001000…
…010101011000100000
32002020222121202201021
4110103020111120200
5324114210211240
614002435215224
71401056100235
oct242310253040
962228552637
1021795788320
1192751773a9
124283447514
132094751987
1410aa9c378c
1587874154a
hex513215620

21795788320 has 96 divisors (see below), whose sum is σ = 53179032816. Its totient is φ = 8435404800.

The previous prime is 21795788309. The next prime is 21795788327. The reversal of 21795788320 is 2388759712.

It can be written as a sum of positive squares in 8 ways, for example, as 8324007696 + 13471780624 = 91236^2 + 116068^2 .

It is not an unprimeable number, because it can be changed into a prime (21795788327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061350 + ... + 1081690.

Almost surely, 221795788320 is an apocalyptic number.

21795788320 is a gapful number since it is divisible by the number (20) 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 21795788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26589516408).

21795788320 is an abundant number, since it is smaller than the sum of its proper divisors (31383244496).

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

21795788320 is a wasteful number, since it uses less digits than its factorization.

21795788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20574 (or 20566 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 21795788320 in words is "twenty-one billion, seven hundred ninety-five million, seven hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 181 185 296 362 370 592 724 740 905 1184 1448 1480 1810 2896 2960 3620 5792 5920 6697 7240 13394 14480 20341 26788 28960 33485 40682 53576 66970 81364 101705 107152 133940 162728 203410 214304 267880 325456 406820 535760 650912 752617 813640 1071520 1505234 1627280 3010468 3254560 3681721 3763085 6020936 7363442 7526170 12041872 14726884 15052340 18408605 24083744 29453768 30104680 36817210 58907536 60209360 73634420 117815072 120418720 136223677 147268840 272447354 294537680 544894708 589075360 681118385 1089789416 1362236770 2179578832 2724473540 4359157664 5448947080 10897894160 21795788320