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21125356618806 = 232111917333240311
BaseRepresentation
bin1001100110110101000010…
…11000001000010000110110
32202210120020102110222020100
410303122201120020100312
510232104212243300211
6112532504352014530
74310154013322526
oct463324130102066
982716212428210
1021125356618806
116805239090040
12245229b231446
13ba316045825b
145306891bd686
152697bb99e156
hex1336a1608436

21125356618806 has 96 divisors (see below), whose sum is σ = 52591041434880. Its totient is φ = 6061194273600.

The previous prime is 21125356618799. The next prime is 21125356618811. The reversal of 21125356618806 is 60881665352112.

21125356618806 is a `hidden beast` number, since 2 + 1 + 12 + 5 + 3 + 5 + 6 + 618 + 8 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4899391 + ... + 8139701.

It is an arithmetic number, because the mean of its divisors is an integer number (547823348280).

Almost surely, 221125356618806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21125356618806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295520717440).

21125356618806 is an abundant number, since it is smaller than the sum of its proper divisors (31465684816074).

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

21125356618806 is a wasteful number, since it uses less digits than its factorization.

21125356618806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242082 (or 3242079 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 21125356618806 in words is "twenty-one trillion, one hundred twenty-five billion, three hundred fifty-six million, six hundred eighteen thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1733 1881 3466 3762 5199 10398 15597 19063 31194 32927 38126 57189 65854 98781 114378 171567 197562 296343 343134 362197 592686 724394 1086591 2173182 3240311 3259773 6480622 6519546 9720933 19441866 29162799 35643421 58325598 61565909 71286842 106930263 123131818 184697727 213860526 320790789 369395454 554093181 641581578 677224999 1108186362 1354449998 2031674997 4063349994 5615458963 6095024991 11230917926 12190049982 16846376889 33692753778 50539130667 61770048593 101078261334 106693720297 123540097186 185310145779 213387440594 320081160891 370620291558 555930437337 640162321782 960243482673 1111860874674 1173630923267 1920486965346 2347261846534 3520892769801 7041785539602 10562678309403 21125356618806