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21464683812 = 223211137615479
BaseRepresentation
bin10011111111011001…
…010001010100100100
32001101220120220201100
4103333121101110210
5322424424340222
613505530400100
71356625542045
oct237731212444
961356526640
1021464683812
119115288710
1241b0590030
132040c83250
141078a348cc
1585963b4ac
hex4ff651524

21464683812 has 144 divisors (see below), whose sum is σ = 63839018880. Its totient is φ = 5995123200.

The previous prime is 21464683789. The next prime is 21464683817. The reversal of 21464683812 is 21838646412.

21464683812 is a `hidden beast` number, since 2 + 146 + 468 + 38 + 12 = 666.

It is a super-2 number, since 2×214646838122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21464683817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3914889 + ... + 3920367.

It is an arithmetic number, because the mean of its divisors is an integer number (443326520).

Almost surely, 221464683812 is an apocalyptic number.

21464683812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21464683812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31919509440).

21464683812 is an abundant number, since it is smaller than the sum of its proper divisors (42374335068).

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

21464683812 is a wasteful number, since it uses less digits than its factorization.

21464683812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6269 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 21464683812 in words is "twenty-one billion, four hundred sixty-four million, six hundred eighty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 761 858 1287 1522 1716 2283 2574 3044 4566 5148 5479 6849 8371 9132 9893 10958 13698 16437 16742 19786 21916 25113 27396 29679 32874 33484 39572 49311 50226 59358 60269 65748 71227 75339 89037 98622 100452 108823 118716 120538 142454 150678 178074 180807 197244 213681 217646 241076 284908 301356 326469 356148 361614 427362 435292 542421 641043 652938 723228 783497 854724 979407 1084842 1282086 1305876 1566994 1958814 2169684 2350491 2564172 3133988 3917628 4169519 4700982 7051473 8339038 9401964 12508557 14102946 16678076 25017114 28205892 37525671 45864709 50034228 54203747 75051342 91729418 108407494 137594127 150102684 162611241 183458836 216814988 275188254 325222482 412782381 487833723 550376508 596241217 650444964 825564762 975667446 1192482434 1651129524 1788723651 1951334892 2384964868 3577447302 5366170953 7154894604 10732341906 21464683812