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18373900448961 = 339799715114657
BaseRepresentation
bin1000010110110000000011…
…10011110011010011000001
32102001112020201021110102000
410023120001303303103001
54402014222003331321
6103024504153214213
73604320244630161
oct413300163632301
972045221243360
1018373900448961
115944366884662
122088b9a101369
13a338610ccc95
144774315645a1
1521ce322d6826
hex10b601cf34c1

18373900448961 has 64 divisors (see below), whose sum is σ = 27552936015360. Its totient is φ = 12100212449280.

The previous prime is 18373900448941. The next prime is 18373900448971. The reversal of 18373900448961 is 16984400937381.

18373900448961 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 3 + 90 + 0 + 4 + 489 + 61 = 666.

It is not a de Polignac number, because 18373900448961 - 27 = 18373900448833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18373900448941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3945434745 + ... + 3945439401.

It is an arithmetic number, because the mean of its divisors is an integer number (430514625240).

Almost surely, 218373900448961 is an apocalyptic number.

It is an amenable number.

18373900448961 is a deficient number, since it is larger than the sum of its proper divisors (9179035566399).

18373900448961 is a wasteful number, since it uses less digits than its factorization.

18373900448961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 18373900448961 in words is "eighteen trillion, three hundred seventy-three billion, nine hundred million, four hundred forty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 97 291 873 997 1511 2619 2991 4533 4657 8973 13599 13971 26919 40797 41913 96709 125739 146567 290127 439701 451729 870381 1319103 1355187 1506467 2611143 3957309 4065561 4519401 4643029 7036727 12196683 13558203 13929087 21110181 40674609 41787261 63330543 125361783 146127299 189991629 438381897 450373813 682562519 1315145691 1351121439 2047687557 3945437073 4053364317 6143062671 7015616819 12160092951 18429188013 21046850457 63140551371 189421654113 680514831443 2041544494329 6124633482987 18373900448961