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18539844747264 = 21432112132
BaseRepresentation
bin1000011011100101001001…
…10111000100000000000000
32102122101120122202020201100
410031302210313010000000
54412224100223403024
6103233030451334400
73622313431116141
oct415624467040000
972571518666640
1018539844747264
1159a8782033045
1220b51905b1400
13a463b8a31c79
14481494707ac8
152223e5a577c9
hex10dca4dc4000

18539844747264 has 135 divisors (see below), whose sum is σ = 53562693823093. Its totient is φ = 6179397107712.

The previous prime is 18539844747217. The next prime is 18539844747271. The reversal of 18539844747264 is 46274744893581.

It is a happy number.

The square root of 18539844747264 is 4305792.

It is a perfect power (a square), and thus also a powerful number.

18539844747264 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 9 + 84 + 474 + 72 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 736575897600 + 17803268849664 = 858240^2 + 4219392^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18539844747192 and 18539844747201.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1653418522 + ... + 1653429734.

Almost surely, 218539844747264 is an apocalyptic number.

18539844747264 is the 4305792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18539844747264

18539844747264 is an abundant number, since it is smaller than the sum of its proper divisors (35022849075829).

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

18539844747264 is an frugal number, since it uses more digits than its factorization.

18539844747264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22460 (or 11218 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 18539844747264 in words is "eighteen trillion, five hundred thirty-nine billion, eight hundred forty-four million, seven hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 11213 12288 16384 18432 22426 24576 33639 36864 44852 49152 67278 73728 89704 100917 134556 147456 179408 201834 269112 358816 403668 538224 717632 807336 1076448 1435264 1614672 2152896 2870528 3229344 4305792 5741056 6458688 8611584 11482112 12917376 17223168 22964224 25834752 34446336 45928448 51669504 68892672 91856896 103339008 125731369 137785344 183713792 206678016 251462738 275570688 377194107 413356032 502925476 551141376 754388214 826712064 1005850952 1131582321 1508776428 1653424128 2011701904 2263164642 3017552856 4023403808 4526329284 6035105712 8046807616 9052658568 12070211424 16093615232 18105317136 24140422848 32187230464 36210634272 48280845696 64374460928 72421268544 96561691392 128748921856 144842537088 193123382784 257497843712 289685074176 386246765568 514995687424 579370148352 772493531136 1029991374848 1158740296704 1544987062272 2059982749696 2317480593408 3089974124544 4634961186816 6179948249088 9269922373632 18539844747264