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21051256320 = 29335304561
BaseRepresentation
bin10011100110110000…
…001010111000000000
32000100002122121211000
4103212300022320000
5321103110200240
613400521252000
71343445504063
oct234660127000
960302577730
1021051256320
118a229814a6
1240b6034000
131ca641ccb3
141039b768da
158331c4430
hex4e6c0ae00

21051256320 has 160 divisors (see below), whose sum is σ = 74776062240. Its totient is φ = 5613649920.

The previous prime is 21051256319. The next prime is 21051256327. The reversal of 21051256320 is 2365215012.

It is a happy number.

21051256320 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 1 + 25 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21051256327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83161 + ... + 221400.

It is an arithmetic number, because the mean of its divisors is an integer number (467350389).

Almost surely, 221051256320 is an apocalyptic number.

21051256320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21051256320 is an abundant number, since it is smaller than the sum of its proper divisors (53724805920).

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

21051256320 is an equidigital number, since it uses as much as digits as its factorization.

21051256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304593 (or 304571 counting only the distinct ones).

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

The spelling of 21051256320 in words is "twenty-one billion, fifty-one million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 304561 609122 913683 1218244 1522805 1827366 2436488 2741049 3045610 3654732 4568415 4872976 5482098 6091220 7309464 8223147 9136830 9745952 10964196 12182440 13705245 14618928 16446294 18273660 19491904 21928392 24364880 27410490 29237856 32892588 36547320 38983808 41115735 43856784 48729760 54820980 58475712 65785176 73094640 77967616 82231470 87713568 97459520 109641960 116951424 131570352 146189280 155935232 164462940 175427136 194919040 219283920 233902848 263140704 292378560 328925880 350854272 389838080 438567840 467805696 526281408 584757120 657851760 701708544 779676160 877135680 1052562816 1169514240 1315703520 1403417088 1754271360 2105125632 2339028480 2631407040 3508542720 4210251264 5262814080 7017085440 10525628160 21051256320