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54438102772704 = 2532727003027169
BaseRepresentation
bin11000110000010110110111…
…10001110010101111100000
321010202020020222111201222200
430120023123301302233200
524113403213302211304
6311440304050133200
714316010635515160
oct1430133361625740
9233666228451880
1054438102772704
11163890848a9152
126132576581200
13244b64cb397a1
14d62b653325a0
156460d7688e39
hex3182dbc72be0

54438102772704 has 72 divisors (see below), whose sum is σ = 176923834017840. Its totient is φ = 15553743648768.

The previous prime is 54438102772681. The next prime is 54438102772717. The reversal of 54438102772704 is 40727720183445.

It is a happy number.

54438102772704 is a `hidden beast` number, since 5 + 443 + 8 + 102 + 77 + 27 + 0 + 4 = 666.

54438102772704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13501511569 + ... + 13501515600.

It is an arithmetic number, because the mean of its divisors is an integer number (2457275472470).

Almost surely, 254438102772704 is an apocalyptic number.

It is an amenable number.

54438102772704 is an abundant number, since it is smaller than the sum of its proper divisors (122485731245136).

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

54438102772704 is a wasteful number, since it uses less digits than its factorization.

54438102772704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27003027192 (or 27003027181 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 54438102772704 in words is "fifty-four trillion, four hundred thirty-eight billion, one hundred two million, seven hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 27003027169 54006054338 81009081507 108012108676 162018163014 189021190183 216024217352 243027244521 324036326028 378042380366 432048434704 486054489042 567063570549 648072652056 756084760732 864096869408 972108978084 1134127141098 1296145304112 1512169521464 1701190711647 1944217956168 2268254282196 2592290608224 3024339042928 3402381423294 3888435912336 4536508564392 6048678085856 6804762846588 7776871824672 9073017128784 13609525693176 18146034257568 27219051386352 54438102772704