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21653745432012 = 22331915849179471
BaseRepresentation
bin1001110110001101001111…
…10011011111010111001100
32211200002002202020211002000
410323012213303133113030
510314233332312311022
6114015332054032300
74363300666166361
oct473064763372714
984602082224060
1021653745432012
11699933586a031
122518783648690
13c10c29c19545
1454c092884468
152783e4a4c6ac
hex13b1a7cdf5cc

21653745432012 has 96 divisors (see below), whose sum is σ = 56443226112000. Its totient is φ = 7178857430400.

The previous prime is 21653745432001. The next prime is 21653745432013. The reversal of 21653745432012 is 21023454735612.

21653745432012 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 3 + 74 + 543 + 20 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (21653745432013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120563437 + ... + 120742907.

It is an arithmetic number, because the mean of its divisors is an integer number (587950272000).

Almost surely, 221653745432012 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 21653745432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28221613056000).

21653745432012 is an abundant number, since it is smaller than the sum of its proper divisors (34789480679988).

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

21653745432012 is a wasteful number, since it uses less digits than its factorization.

21653745432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185524 (or 185516 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 21653745432012 in words is "twenty-one trillion, six hundred fifty-three billion, seven hundred forty-five million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 5849 6876 10314 11698 17547 20628 23396 35094 52641 70188 105282 157923 179471 210564 315846 358942 538413 631692 717884 1076826 1117159 1615239 2153652 2234318 3230478 3351477 4468636 4845717 6460956 6702954 9691434 10054431 13405908 19382868 20108862 30163293 34278961 40217724 60326586 68557922 102836883 120653172 137115844 205673766 308510649 411347532 617021298 925531947 1049725879 1234042596 1851063894 2099451758 3149177637 3702127788 4198903516 6298355274 9447532911 12596710548 18895065822 28342598733 37790131644 56685197466 113370394932 200497642889 400995285778 601492928667 801990571556 1202985857334 1804478786001 2405971714668 3608957572002 5413436358003 7217915144004 10826872716006 21653745432012