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57387255278375 = 5311391110671487
BaseRepresentation
bin11010000110001100000101…
…11101110010101100100111
321112012011112111020200011002
431003012002331302230213
530010213044322402000
6322015201403303515
715042043453302461
oct1503060275625447
9245164474220132
1057387255278375
1117315886581840
12652a04b81ab9b
132603797158029
1410257b5129131
15697b92e2d8d5
hex343182f72b27

57387255278375 has 32 divisors (see below), whose sum is σ = 78150123896832. Its totient is φ = 41725510260000.

The previous prime is 57387255278357. The next prime is 57387255278417.

57387255278375 is nontrivially palindromic in base 10.

57387255278375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57387255278375 - 214 = 57387255261991 is a prime.

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 41882 + ... + 10713368.

It is an arithmetic number, because the mean of its divisors is an integer number (2442191371776).

Almost surely, 257387255278375 is an apocalyptic number.

57387255278375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57387255278375 is a deficient number, since it is larger than the sum of its proper divisors (20762868618457).

57387255278375 is a wasteful number, since it uses less digits than its factorization.

57387255278375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10675424 (or 10675414 counting only the distinct ones).

The product of its digits is 3457440000, while the sum is 74.

The spelling of 57387255278375 in words is "fifty-seven trillion, three hundred eighty-seven billion, two hundred fifty-five million, two hundred seventy-eight thousand, three hundred seventy-five".

Divisors: 1 5 11 25 55 125 275 1375 3911 19555 43021 97775 215105 488875 1075525 5377625 10671487 53357435 117386357 266787175 586931785 1333935875 2934658925 14673294625 41736185657 208680928285 459098042227 1043404641425 2295490211135 5217023207125 11477451055675 57387255278375