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21656052144 = 2432409136761
BaseRepresentation
bin10100001010110011…
…010010000110110000
32001220020200102201100
4110022303102012300
5323322422132034
613540524204400
71364441256156
oct241263220660
961806612640
1021656052144
119203305561
124244699700
13207180774c
14109620b3d6
1586b33d099
hex50acd21b0

21656052144 has 60 divisors (see below), whose sum is σ = 60623331912. Its totient is φ = 7216723200.

The previous prime is 21656052091. The next prime is 21656052163. The reversal of 21656052144 is 44125065612.

21656052144 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 605 + 2 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21656052099 and 21656052108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570724 + ... + 607484.

Almost surely, 221656052144 is an apocalyptic number.

21656052144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21656052144 is an abundant number, since it is smaller than the sum of its proper divisors (38967279768).

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

21656052144 is a wasteful number, since it uses less digits than its factorization.

21656052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40866 (or 40857 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21656052144 in words is "twenty-one billion, six hundred fifty-six million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4091 8182 12273 16364 24546 32728 36761 36819 49092 65456 73522 73638 98184 110283 147044 147276 196368 220566 294088 294552 330849 441132 588176 589104 661698 882264 1323396 1764528 2646792 5293584 150389251 300778502 451167753 601557004 902335506 1203114008 1353503259 1804671012 2406228016 2707006518 3609342024 5414013036 7218684048 10828026072 21656052144