Search a number
-
+
204136491358944 = 2534333592360873
BaseRepresentation
bin101110011010100100111011…
…000011011001101011100000
3222202210020222001220012120000
4232122210323003121223200
5203224033013241441234
62002055002015020000
760666242361611004
oct5632447303315340
9882706861805500
10204136491358944
115a0538885aa101
121aa8b029b0a600
1389b9cb0a75b21
14385a38a5c4704
1518900d2c03899
hexb9a93b0d9ae0

204136491358944 has 120 divisors (see below), whose sum is σ = 600378001866720. Its totient is φ = 68043428504064.

The previous prime is 204136491358901. The next prime is 204136491358951. The reversal of 204136491358944 is 449853194631402.

204136491358944 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 6 + 4 + 9 + 1 + 3 + 589 + 44 = 666.

204136491358944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85286092 + ... + 87646964.

It is an arithmetic number, because the mean of its divisors is an integer number (5003150015556).

Almost surely, 2204136491358944 is an apocalyptic number.

204136491358944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204136491358944 is an abundant number, since it is smaller than the sum of its proper divisors (396241510507776).

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

204136491358944 is a wasteful number, since it uses less digits than its factorization.

204136491358944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394254 (or 2394237 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 204136491358944 in words is "two hundred four trillion, one hundred thirty-six billion, four hundred ninety-one million, three hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 33359 66718 100077 133436 200154 266872 300231 400308 533744 600462 800616 900693 1067488 1200924 1601232 1801386 2360873 2401848 2702079 3202464 3602772 4721746 4803696 5404158 7082619 7205544 9443492 9607392 10808316 14165238 14411088 18886984 21247857 21616632 28330476 28822176 37773968 42495714 43233264 56660952 63743571 75547936 84991428 86466528 113321904 127487142 169982856 191230713 226643808 254974284 339965712 382461426 509948568 679931424 764922852 1019897136 1529845704 2039794272 3059691408 6119382816 78756362407 157512724814 236269087221 315025449628 472538174442 630050899256 708807261663 945076348884 1260101798512 1417614523326 1890152697768 2126421784989 2520203597024 2835229046652 3780305395536 4252843569978 5670458093304 6379265354967 7560610791072 8505687139956 11340916186608 12758530709934 17011374279912 22681832373216 25517061419868 34022748559824 51034122839736 68045497119648 102068245679472 204136491358944