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57678539473872 = 2433197027112509
BaseRepresentation
bin11010001110101010101001…
…10110110100001111010000
321120020000101120211221211000
431013111110312310033100
530030001122101130442
6322401053310422000
715102064656150312
oct1507252466641720
9246200346757730
1057678539473872
1117418370947119
1265765a2201900
1326250a835c865
1410359288b37b2
156a054034bd4c
hex347554db43d0

57678539473872 has 80 divisors (see below), whose sum is σ = 174272390248000. Its totient is φ = 18214275620736.

The previous prime is 57678539473871. The next prime is 57678539473913. The reversal of 57678539473872 is 27837493587675.

57678539473872 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 8 + 539 + 4 + 7 + 3 + 8 + 72 = 666.

57678539473872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57678539473791 and 57678539473800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57678539473871) 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 15 ways as a sum of consecutive naturals, for example, 3513548047 + ... + 3513564462.

It is an arithmetic number, because the mean of its divisors is an integer number (2178404878100).

Almost surely, 257678539473872 is an apocalyptic number.

It is an amenable number.

57678539473872 is an abundant number, since it is smaller than the sum of its proper divisors (116593850774128).

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

57678539473872 is a wasteful number, since it uses less digits than its factorization.

57678539473872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027112545 (or 7027112533 counting only the distinct ones).

The product of its digits is 14936140800, while the sum is 81.

The spelling of 57678539473872 in words is "fifty-seven trillion, six hundred seventy-eight billion, five hundred thirty-nine million, four hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 7027112509 14054225018 21081337527 28108450036 42162675054 56216900072 63244012581 84325350108 112433800144 126488025162 133515137671 168650700216 189732037743 252976050324 267030275342 337301400432 379464075486 400545413013 505952100648 534060550684 758928150972 801090826026 1011904201296 1068121101368 1201636239039 1517856301944 1602181652052 2136242202736 2403272478078 3035712603888 3204363304104 3604908717117 4806544956156 6408726608208 7209817434234 9613089912312 14419634868468 19226179824624 28839269736936 57678539473872