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21283812882 = 234193725051
BaseRepresentation
bin10011110100100111…
…010011011000010010
32000221022020201110000
4103310213103120102
5322042124003012
613435545550430
71352301265413
oct236447233022
960838221400
1021283812882
119032180702
12415baa5416
132012665b27
14105c9d180a
1584880eddc
hex4f49d3612

21283812882 has 120 divisors (see below), whose sum is σ = 51605270640. Its totient is φ = 6538255200.

The previous prime is 21283812877. The next prime is 21283812929. The reversal of 21283812882 is 28821838212.

21283812882 is a `hidden beast` number, since 212 + 83 + 81 + 288 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4211257 + ... + 4216307.

It is an arithmetic number, because the mean of its divisors is an integer number (430043922).

Almost surely, 221283812882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21283812882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25802635320).

21283812882 is an abundant number, since it is smaller than the sum of its proper divisors (30321457758).

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

21283812882 is a wasteful number, since it uses less digits than its factorization.

21283812882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5112 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 21283812882 in words is "twenty-one billion, two hundred eighty-three million, eight hundred twelve thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 513 666 703 999 1026 1369 1406 1539 1998 2109 2738 2997 3078 4107 4218 5051 5994 6327 8214 10102 12321 12654 15153 18981 24642 26011 30306 36963 37962 45459 52022 56943 73926 78033 90918 95969 110889 113886 136377 156066 186887 191938 221778 234099 272754 287907 373774 409131 468198 560661 575814 702297 818262 863721 1121322 1404594 1681983 1727442 2106891 2591163 3363966 3550853 4213782 5045949 5182326 6914819 7101706 7773489 10091898 10652559 13829638 15137847 15546978 20744457 21305118 30275694 31957677 41488914 62233371 63915354 95873031 124466742 131381561 186700113 191746062 262763122 287619093 373400226 394144683 560100339 575238186 788289366 1120200678 1182434049 2364868098 3547302147 7094604294 10641906441 21283812882