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18273837381921 = 341161956575857
BaseRepresentation
bin1000010011110101101011…
…00101011111100100100001
32101200221222010221222110000
410021322311211133210201
54343344304332210141
6102510515054330213
73564145503611562
oct411726545374441
971627863858400
1018273837381921
115905988893340
1220717131b9969
13a272a550b584
1447265bda8169
1521a5277905b6
hex109eb595f921

18273837381921 has 80 divisors (see below), whose sum is σ = 29838062295360. Its totient is φ = 11053318993920.

The previous prime is 18273837381911. The next prime is 18273837381949. The reversal of 18273837381921 is 12918373837281.

It is a happy number.

18273837381921 is a `hidden beast` number, since 1 + 8 + 2 + 73 + 8 + 373 + 8 + 192 + 1 = 666.

It is not a de Polignac number, because 18273837381921 - 215 = 18273837349153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18273837381901) 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 79 ways as a sum of consecutive naturals, for example, 3119996625 + ... + 3120002481.

It is an arithmetic number, because the mean of its divisors is an integer number (372975778692).

Almost surely, 218273837381921 is an apocalyptic number.

18273837381921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18273837381921 is a deficient number, since it is larger than the sum of its proper divisors (11564224913439).

18273837381921 is a wasteful number, since it uses less digits than its factorization.

18273837381921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12147 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 18273837381921 in words is "eighteen trillion, two hundred seventy-three billion, eight hundred thirty-seven million, three hundred eighty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 297 619 891 1857 5571 5657 5857 6809 16713 16971 17571 20427 50139 50913 52713 61281 62227 64427 152739 158139 183843 186681 193281 458217 474417 551529 560043 579843 1680129 1739529 3501683 3625483 5040387 5218587 10505049 10876449 31515147 32629347 33133049 38518513 39880313 94545441 97888041 99399147 115555539 119640939 283636323 293664123 298197441 346666617 358922817 364463539 894592323 1039999851 1076768451 1093390617 2683776969 3119999553 3230305353 3280171851 9840515553 20509357331 29521546659 61528071993 184584215979 225602930641 553752647937 676808791923 1661257943811 2030426375769 6091279127307 18273837381921