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21299241864 = 23329415314083
BaseRepresentation
bin10011110101100010…
…001010001110001000
32000222101021121000210
4103311202022032020
5322110101214424
613441300401120
71352546366025
oct236542121610
960871247023
1021299241864
11903a95972a
1241650a61a0
1320159087c4
141060a8a54c
15849d5b729
hex4f588a388

21299241864 has 128 divisors (see below), whose sum is σ = 57496521600. Its totient is φ = 6561085440.

The previous prime is 21299241833. The next prime is 21299241869. The reversal of 21299241864 is 46814299212.

It is not an unprimeable number, because it can be changed into a prime (21299241869) 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, 1505367 + ... + 1519449.

It is an arithmetic number, because the mean of its divisors is an integer number (449191575).

Almost surely, 221299241864 is an apocalyptic number.

21299241864 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 21299241864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748260800).

21299241864 is an abundant number, since it is smaller than the sum of its proper divisors (36197279736).

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

21299241864 is a wasteful number, since it uses less digits than its factorization.

21299241864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215 (or 14211 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The spelling of 21299241864 in words is "twenty-one billion, two hundred ninety-nine million, two hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 41 53 58 82 87 106 116 123 159 164 174 212 232 246 318 328 348 424 492 636 696 984 1189 1272 1537 2173 2378 3074 3567 4346 4611 4756 6148 6519 7134 8692 9222 9512 12296 13038 14083 14268 17384 18444 26076 28166 28536 36888 42249 52152 56332 63017 84498 112664 126034 168996 189051 252068 337992 378102 408407 504136 577403 746399 756204 816814 1154806 1225221 1492798 1512408 1633628 1732209 2239197 2309612 2450442 2985596 3267256 3464418 4478394 4619224 4900884 5971192 6928836 8956788 9801768 13857672 16744687 17913576 21645571 30602359 33489374 43291142 50234061 61204718 64936713 66978748 86582284 91807077 100468122 122409436 129873426 133957496 173164568 183614154 200936244 244818872 259746852 367228308 401872488 519493704 734456616 887468411 1774936822 2662405233 3549873644 5324810466 7099747288 10649620932 21299241864