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54856336416114 = 2337757494366037
BaseRepresentation
bin11000111100100001111000…
…11100100001110101110010
321012020012210101220011111210
430132100330130201311302
524142231234110303424
6312400353020420550
714361145104030342
oct1436207434416562
9235205711804453
1054856336416114
111652a494894732
12619b6380a7756
13247bc12c11b2c
14d790bcd80d22
15651e14bdd729
hex31e43c721d72

54856336416114 has 64 divisors (see below), whose sum is σ = 112851262573056. Its totient is φ = 17763878409984.

The previous prime is 54856336416067. The next prime is 54856336416157. The reversal of 54856336416114 is 41161463365845.

It is a happy number.

54856336416114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 830657904 + ... + 830723940.

It is an arithmetic number, because the mean of its divisors is an integer number (1763300977704).

Almost surely, 254856336416114 is an apocalyptic number.

54856336416114 is an abundant number, since it is smaller than the sum of its proper divisors (57994926156942).

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

54856336416114 is a wasteful number, since it uses less digits than its factorization.

54856336416114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71779.

The product of its digits is 24883200, while the sum is 57.

The spelling of 54856336416114 in words is "fifty-four trillion, eight hundred fifty-six billion, three hundred thirty-six million, four hundred sixteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 757 1514 2271 4542 4943 9886 14829 28009 29658 56018 66037 84027 132074 168054 182891 198111 365782 396222 548673 1097346 2443369 3741851 4886738 7330107 7483702 11225553 14660214 22451106 49990009 99980018 138448487 149970027 276896974 299940054 326420891 415345461 652841782 830690922 979262673 1849630333 1958525346 3699260666 5548890999 11097781998 12077572967 24155145934 36232718901 72465437802 247100614487 494201228974 741301843461 1482603686922 9142722736019 18285445472038 27428168208057 54856336416114