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204565231045164 = 223112954779757019
BaseRepresentation
bin101110100000110100001101…
…111011100000101000101100
3222211022020121200020220102210
4232200310031323200220230
5203303044043121421124
62003023545250250420
761042231061040453
oct5640641573405054
9884266550226383
10204565231045164
115a1a9699a140a0
121ab3a141b86a10
138a1b559628052
14387301d681b9a
15189b327774a29
hexba0d0dee0a2c

204565231045164 has 96 divisors (see below), whose sum is σ = 538765472044800. Its totient is φ = 59840962236160.

The previous prime is 204565231045111. The next prime is 204565231045169. The reversal of 204565231045164 is 461540132565402.

It is a super-2 number, since 2×2045652310451642 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204565231045169) 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, 16087447 + ... + 25844465.

It is an arithmetic number, because the mean of its divisors is an integer number (5612140333800).

Almost surely, 2204565231045164 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 204565231045164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269382736022400).

204565231045164 is an abundant number, since it is smaller than the sum of its proper divisors (334200240999636).

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

204565231045164 is a wasteful number, since it uses less digits than its factorization.

204565231045164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762543 (or 9762541 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 204565231045164 in words is "two hundred four trillion, five hundred sixty-five billion, two hundred thirty-one million, forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 5477 10954 16431 21908 32862 60247 65724 120494 158833 180741 240988 317666 361482 476499 635332 722964 952998 1747163 1905996 3494326 5241489 6988652 9757019 10482978 19514038 20965956 29271057 39028076 58542114 107327209 117084228 214654418 282953551 321981627 429308836 565907102 643963254 848860653 1131814204 1287926508 1697721306 3112489061 3395442612 6224978122 9337467183 12449956244 18674934366 37349868732 53439193063 106878386126 160317579189 213756772252 320635158378 587831123693 641270316756 1175662247386 1549736598827 1763493371079 2351324494772 3099473197654 3526986742158 4649209796481 6198946395308 7053973484316 9298419592962 17047102587097 18596839185924 34094205174194 51141307761291 68188410348388 102282615522582 204565231045164