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57516112120614 = 2371369431240967
BaseRepresentation
bin11010001001111100000110…
…11011101000101100100110
321112122111010202010111010120
431010332003123220230212
530014320444200324424
6322154312004502410
715054254606344410
oct1504760333505446
9245574122114116
1057516112120614
111736549a939594
12654b0116aaa06
13261299124ac44
14102bb1a85d9b0
1569b1d5733a79
hex344f836e8b26

57516112120614 has 16 divisors (see below), whose sum is σ = 131465399132928. Its totient is φ = 16433174891592.

The previous prime is 57516112120613. The next prime is 57516112120667. The reversal of 57516112120614 is 41602121161575.

57516112120614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 1369431240967 = 57516112120614 / (5 + 7 + 5 + 1 + 6 + 1 + 1 + 2 + 1 + 2 + 0 + 6 + 1 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57516112120613) 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 7 ways as a sum of consecutive naturals, for example, 684715620442 + ... + 684715620525.

It is an arithmetic number, because the mean of its divisors is an integer number (8216587445808).

Almost surely, 257516112120614 is an apocalyptic number.

57516112120614 is an abundant number, since it is smaller than the sum of its proper divisors (73949287012314).

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

57516112120614 is a wasteful number, since it uses less digits than its factorization.

57516112120614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369431240979.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 57516112120614 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 1369431240967 2738862481934 4108293722901 8216587445802 9586018686769 19172037373538 28758056060307 57516112120614