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21531513024 = 263275340157
BaseRepresentation
bin10100000011011000…
…001101000011000000
32001120120100012011100
4110003120031003000
5323044031404044
613520315014400
71361366561310
oct240330150300
961516305140
1021531513024
119149a8346a
12420aa3a400
132051a81768
14108386d440
1586043c869
hex50360d0c0

21531513024 has 84 divisors (see below), whose sum is σ = 70532806864. Its totient is φ = 6151859712.

The previous prime is 21531513011. The next prime is 21531513061. The reversal of 21531513024 is 42031513512.

21531513024 is a `hidden beast` number, since 215 + 315 + 130 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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, 2666047 + ... + 2674110.

Almost surely, 221531513024 is an apocalyptic number.

21531513024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21531513024 is an abundant number, since it is smaller than the sum of its proper divisors (49001293840).

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

21531513024 is a wasteful number, since it uses less digits than its factorization.

21531513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340182 (or 5340169 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 21531513024 in words is "twenty-one billion, five hundred thirty-one million, five hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5340157 10680314 16020471 21360628 32040942 37381099 42721256 48061413 64081884 74762198 85442512 96122826 112143297 128163768 149524396 170885024 192245652 224286594 256327536 299048792 336429891 341770048 384491304 448573188 512655072 598097584 672859782 768982608 897146376 1025310144 1196195168 1345719564 1537965216 1794292752 2392390336 2691439128 3075930432 3588585504 5382878256 7177171008 10765756512 21531513024