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21860735744 = 28173125227
BaseRepresentation
bin10100010111000000…
…000101101100000000
32002102111211102211102
4110113000011230000
5324232322020434
614013115233532
71402505121311
oct242700055400
962374742742
1021860735744
1192a88a7361
1242a11488a8
1320a50417c3
1410b548c608
1587e2c007e
hex517005b00

21860735744 has 108 divisors (see below), whose sum is σ = 47750533992. Its totient is φ = 9953648640.

The previous prime is 21860735723. The next prime is 21860735753. The reversal of 21860735744 is 44753706812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4179659 + ... + 4184885.

It is an arithmetic number, because the mean of its divisors is an integer number (442134574).

Almost surely, 221860735744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21860735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23875266996).

21860735744 is an abundant number, since it is smaller than the sum of its proper divisors (25889798248).

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

21860735744 is an equidigital number, since it uses as much as digits as its factorization.

21860735744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 21860735744 in words is "twenty-one billion, eight hundred sixty million, seven hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 527 544 961 992 1054 1088 1922 1984 2108 2176 3844 3968 4216 4352 5227 7688 7936 8432 10454 15376 16337 16864 20908 30752 32674 33728 41816 61504 65348 67456 83632 88859 123008 130696 134912 162037 167264 177718 246016 261392 324074 334528 355436 522784 648148 669056 710872 1045568 1296296 1338112 1421744 2091136 2592592 2754629 2843488 4182272 5023147 5185184 5509258 5686976 10046294 10370368 11018516 11373952 20092588 20740736 22037032 22747904 40185176 41481472 44074064 80370352 85393499 88148128 160740704 170786998 176296256 321481408 341573996 352592512 642962816 683147992 705185024 1285925632 1366295984 2732591968 5465183936 10930367872 21860735744