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21424422633664 = 264113176981049
BaseRepresentation
bin1001101111100010000110…
…00110011100000011000000
32210212011011211221122020011
410313301003012130003000
510302004204143234124
6113322124402354304
74340602110442351
oct467610306340300
983764154848204
1021424422633664
116910057052496
1224a024395b994
13bc541192161b
14540d3a279d28
1527247216b994
hex137c4319c0c0

21424422633664 has 112 divisors (see below), whose sum is σ = 43941075948000. Its totient is φ = 10357545369600.

The previous prime is 21424422633587. The next prime is 21424422633689. The reversal of 21424422633664 is 46633622442412.

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, 264298612 + ... + 264379660.

It is an arithmetic number, because the mean of its divisors is an integer number (392331035250).

Almost surely, 221424422633664 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 21424422633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970537974000).

21424422633664 is an abundant number, since it is smaller than the sum of its proper divisors (22516653314336).

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

21424422633664 is a wasteful number, since it uses less digits than its factorization.

21424422633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82002 (or 81992 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 49.

The spelling of 21424422633664 in words is "twenty-one trillion, four hundred twenty-four billion, four hundred twenty-two million, six hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 131 164 262 328 524 656 769 1048 1312 1538 2096 2624 3076 4192 5371 6152 8384 10742 12304 21484 24608 31529 42968 49216 63058 81049 85936 100739 126116 162098 171872 201478 252232 324196 343744 402956 504464 648392 805912 1008928 1296784 1611824 2017856 2593568 3223648 3323009 4130299 5187136 6447296 6646018 8260598 10617419 13292036 16521196 21234838 26584072 33042392 42469676 53168144 62326681 66084784 84939352 106336288 124653362 132169568 169878704 212672576 249306724 264339136 339757408 435314179 498613448 679514816 870628358 997226896 1741256716 1994453792 2555393921 3482513432 3988907584 5110787842 6965026864 8164795211 10221575684 13930053728 16329590422 20443151368 27860107456 32659180844 40886302736 65318361688 81772605472 130636723376 163545210944 261273446752 334756603651 522546893504 669513207302 1339026414604 2678052829208 5356105658416 10712211316832 21424422633664