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54786000139968 = 263285343750729
BaseRepresentation
bin11000111010011110111000…
…00100111011011011000000
321011222111020112210010111010
430131033130010323123000
524140103212013434333
6312304201354120520
714353105104402636
oct1435173404733300
9234874215703433
1054786000139968
11165026808a1399
126189a88720140
1324753b3c07b16
14d75929831356
15650199d05563
hex31d3dc13b6c0

54786000139968 has 28 divisors (see below), whose sum is σ = 144954625370840. Its totient is φ = 18262000046592.

The previous prime is 54786000139967. The next prime is 54786000139987. The reversal of 54786000139968 is 86993100068745.

54786000139968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×547860001399682 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54786000139899 and 54786000139908.

It is not an unprimeable number, because it can be changed into a prime (54786000139967) 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 3 ways as a sum of consecutive naturals, for example, 142671875173 + ... + 142671875556.

Almost surely, 254786000139968 is an apocalyptic number.

It is an amenable number.

54786000139968 is an abundant number, since it is smaller than the sum of its proper divisors (90168625230872).

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

54786000139968 is a wasteful number, since it uses less digits than its factorization.

54786000139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285343750744 (or 285343750734 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 54786000139968 in words is "fifty-four trillion, seven hundred eighty-six billion, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 285343750729 570687501458 856031252187 1141375002916 1712062504374 2282750005832 3424125008748 4565500011664 6848250017496 9131000023328 13696500034992 18262000046656 27393000069984 54786000139968