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21586074084 = 22324725212
BaseRepresentation
bin10100000110101000…
…010101100111100100
32001201101000011212100
4110012220111213210
5323202013332314
613525544252100
71362631413411
oct240650254744
961641004770
1021586074084
119177859a53
124225171030
132060175c03
14108abd3108
15865118c09
hex506a159e4

21586074084 has 81 divisors (see below), whose sum is σ = 55857664681. Its totient is φ = 7028748480.

The previous prime is 21586074061. The next prime is 21586074199. The reversal of 21586074084 is 48047068512.

The square root of 21586074084 is 146922.

It is a perfect power (a square), and thus also a powerful number.

21586074084 is a `hidden beast` number, since 21 + 586 + 0 + 7 + 40 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6190227684 + 15395846400 = 78678^2 + 124080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41431744 + ... + 41432264.

Almost surely, 221586074084 is an apocalyptic number.

21586074084 is the 146922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21586074084

21586074084 is an abundant number, since it is smaller than the sum of its proper divisors (34271590597).

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

21586074084 is an equidigital number, since it uses as much as digits as its factorization.

21586074084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 21586074084 in words is "twenty-one billion, five hundred eighty-six million, seventy-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 521 564 846 1042 1563 1692 2084 2209 3126 4418 4689 6252 6627 8836 9378 13254 18756 19881 24487 26508 39762 48974 73461 79524 97948 146922 220383 271441 293844 440766 542882 814323 881532 1085764 1150889 1628646 2301778 2442969 3257292 3452667 4603556 4885938 6905334 9771876 10358001 12757727 13810668 20716002 25515454 38273181 41432004 51030908 76546362 114819543 153092724 229639086 459278172 599613169 1199226338 1798839507 2398452676 3597679014 5396518521 7195358028 10793037042 21586074084