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21660540503424 = 2731553157923003
BaseRepresentation
bin1001110110011001111001…
…10100101000010110000000
32211200201122022101012200120
410323030330310220112000
510314341241332102144
6114022414232020240
74363631246303244
oct473147464502600
984621568335616
1021660540503424
1169a1202474829
122519b5b231680
13c11770930a64
1454c5390d8424
15278691386e19
hex13b33cd28580

21660540503424 has 128 divisors (see below), whose sum is σ = 57611824905600. Its totient is φ = 7210647822336.

The previous prime is 21660540503423. The next prime is 21660540503453. The reversal of 21660540503424 is 42430504506612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21660540503423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941628307 + ... + 941651309.

It is an arithmetic number, because the mean of its divisors is an integer number (450092382075).

Almost surely, 221660540503424 is an apocalyptic number.

21660540503424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21660540503424 is an abundant number, since it is smaller than the sum of its proper divisors (35951284402176).

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

21660540503424 is a wasteful number, since it uses less digits than its factorization.

21660540503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26152 (or 26140 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 21660540503424 in words is "twenty-one trillion, six hundred sixty billion, five hundred forty million, five hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1553 1579 3106 3158 4659 4737 6212 6316 9318 9474 12424 12632 18636 18948 23003 24848 25264 37272 37896 46006 49696 50528 69009 74544 75792 92012 99392 101056 138018 149088 151584 184024 198784 202112 276036 298176 303168 368048 552072 596352 606336 736096 1104144 1472192 2208288 2452187 2944384 4416576 4904374 7356561 8833152 9808748 14713122 19617496 29426244 35723659 36321737 39234992 58852488 71447318 72643474 78469984 107170977 108965211 117704976 142894636 145286948 156939968 214341954 217930422 235409952 285789272 290573896 313879936 428683908 435860844 470819904 571578544 581147792 857367816 871721688 941639808 1143157088 1162295584 1714735632 1743443376 2286314176 2324591168 3429471264 3486886752 4572628352 4649182336 6858942528 6973773504 13717885056 13947547008 56407657561 112815315122 169222972683 225630630244 338445945366 451261260488 676891890732 902522520976 1353783781464 1805045041952 2707567562928 3610090083904 5415135125856 7220180167808 10830270251712 21660540503424