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21923412480 = 29335317179
BaseRepresentation
bin10100011010101111…
…001011101000000000
32002120212202202011000
4110122233023220000
5324344343144410
614023234452000
71404165634314
oct243257135000
962525682130
1021923412480
119330216312
1242ba134000
1320b5017c28
1410bd925b44
15884a50dc0
hex51abcba00

21923412480 has 160 divisors (see below), whose sum is σ = 77874033600. Its totient is φ = 5846224896.

The previous prime is 21923412463. The next prime is 21923412491. The reversal of 21923412480 is 8421432912.

21923412480 is a `hidden beast` number, since 219 + 2 + 341 + 24 + 80 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89470 + ... + 227709.

It is an arithmetic number, because the mean of its divisors is an integer number (486712710).

Almost surely, 221923412480 is an apocalyptic number.

21923412480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21923412480 is an abundant number, since it is smaller than the sum of its proper divisors (55950621120).

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

21923412480 is an equidigital number, since it uses as much as digits as its factorization.

21923412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317211 (or 317189 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21923412480 in words is "twenty-one billion, nine hundred twenty-three million, four hundred twelve thousand, four hundred eighty".

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 317179 634358 951537 1268716 1585895 1903074 2537432 2854611 3171790 3806148 4757685 5074864 5709222 6343580 7612296 8563833 9515370 10149728 11418444 12687160 14273055 15224592 17127666 19030740 20299456 22836888 25374320 28546110 30449184 34255332 38061480 40598912 42819165 45673776 50748640 57092220 60898368 68510664 76122960 81197824 85638330 91347552 101497280 114184440 121796736 137021328 152245920 162395648 171276660 182695104 202994560 228368880 243593472 274042656 304491840 342553320 365390208 405989120 456737760 487186944 548085312 608983680 685106640 730780416 811978240 913475520 1096170624 1217967360 1370213280 1461560832 1826951040 2192341248 2435934720 2740426560 3653902080 4384682496 5480853120 7307804160 10961706240 21923412480