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22122805794912 = 2532173940347221
BaseRepresentation
bin1010000011110110111011…
…11110110001100001100000
32220022220211101002010011100
411001323131332301201200
510344430001240414122
6115015024321314400
74442214515404314
oct501733576614140
986286741063140
1022122805794912
11705a258149209
12259366aa95a00
13c4623010b234
14566a6c945b44
152856e92eaaac
hex141eddfb1860

22122805794912 has 144 divisors (see below), whose sum is σ = 63283449994128. Its totient is φ = 7330707809280.

The previous prime is 22122805794911. The next prime is 22122805794953. The reversal of 22122805794912 is 21949750822122.

It is a happy number.

22122805794912 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 80 + 5 + 79 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122805794911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468471462 + ... + 468518682.

It is an arithmetic number, because the mean of its divisors is an integer number (439468402737).

Almost surely, 222122805794912 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 22122805794912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641724997064).

22122805794912 is an abundant number, since it is smaller than the sum of its proper divisors (41160644199216).

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

22122805794912 is a wasteful number, since it uses less digits than its factorization.

22122805794912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56813 (or 56802 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 22122805794912 in words is "twenty-two trillion, one hundred twenty-two billion, eight hundred five million, seven hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 9403 12456 16608 18806 24912 28209 37612 47221 49824 56418 75224 84627 94442 112836 141663 150448 169254 188884 225672 283326 300896 338508 377768 424989 451344 566652 677016 755536 849978 902688 1133304 1354032 1511072 1626719 1699956 2266608 2708064 3253438 3399912 4533216 4880157 6506876 6799824 8169233 9760314 13013752 13599648 14640471 16338466 19520628 24507699 26027504 29280942 32676932 39041256 49015398 52055008 58561884 65353864 73523097 78082512 98030796 117123768 130707728 147046194 156165024 196061592 234247536 261415456 294092388 392123184 444019063 468495072 588184776 784246368 888038126 1176369552 1332057189 1776076252 2352739104 2664114378 3552152504 3996171567 5328228756 7104305008 7992343134 10656457512 14208610016 15984686268 21312915024 31969372536 42625830048 63938745072 76815297899 127877490144 153630595798 230445893697 307261191596 460891787394 614522383192 691337681091 921783574788 1229044766384 1382675362182 1843567149576 2458089532768 2765350724364 3687134299152 5530701448728 7374268598304 11061402897456 22122805794912