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21616118832 = 24371129201673
BaseRepresentation
bin10100001000011010…
…111100110000110000
32001210110112121111210
4110020122330300300
5323232211300312
613532540240120
71363444656420
oct241032746060
961713477453
1021616118832
119192810020
124233240040
132066465379
141090bb4480
15867aa0e3c
hex5086bcc30

21616118832 has 160 divisors (see below), whose sum is σ = 72021818880. Its totient is φ = 5420943360.

The previous prime is 21616118807. The next prime is 21616118837. The reversal of 21616118832 is 23881161612.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21616118837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6348 + ... + 208020.

It is an arithmetic number, because the mean of its divisors is an integer number (450136368).

Almost surely, 221616118832 is an apocalyptic number.

21616118832 is a gapful number since it is divisible by the number (22) 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 21616118832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36010909440).

21616118832 is an abundant number, since it is smaller than the sum of its proper divisors (50405700048).

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

21616118832 is a wasteful number, since it uses less digits than its factorization.

21616118832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201731 (or 201725 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The spelling of 21616118832 in words is "twenty-one billion, six hundred sixteen million, one hundred eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 35728 53592 107184 201673 403346 605019 806692 1210038 1411711 1613384 2218403 2420076 2823422 3226768 4235133 4436806 4840152 5646844 5848517 6655209 8470266 8873612 9680304 11293688 11697034 13310418 15528821 16940532 17545551 17747224 22587376 23394068 26620836 31057642 33881064 35091102 35494448 40939619 46586463 46788136 53241672 62115284 64333687 67762128 70182204 81879238 93172926 93576272 106483344 122818857 124230568 128667374 140364408 163758476 186345852 193001061 245637714 248461136 257334748 280728816 327516952 372691704 386002122 450335809 491275428 514669496 655033904 745383408 772004244 900671618 982550856 1029338992 1351007427 1544008488 1801343236 1965101712 2702014854 3088016976 3602686472 5404029708 7205372944 10808059416 21616118832