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57516112122007 = 7113720188175543
BaseRepresentation
bin11010001001111100000110…
…11011101001000010010111
321112122111010202010120001011
431010332003123221002113
530014320444200401012
6322154312004513051
715054254606351440
oct1504760333510227
9245574122116034
1057516112122007
111736549a93a640
12654b0116ab787
13261299124b776
14102bb1a8602c7
1569b1d57341a7
hex344f836e9097

57516112122007 has 16 divisors (see below), whose sum is σ = 73646464384512. Its totient is φ = 43606459170720.

The previous prime is 57516112121981. The next prime is 57516112122011. The reversal of 57516112122007 is 70022121161575.

57516112122007 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 57516112122007 - 223 = 57516103733399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57516112122047) 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, 10094084923 + ... + 10094090620.

It is an arithmetic number, because the mean of its divisors is an integer number (4602904024032).

Almost surely, 257516112122007 is an apocalyptic number.

57516112122007 is a deficient number, since it is larger than the sum of its proper divisors (16130352262505).

57516112122007 is a wasteful number, since it uses less digits than its factorization.

57516112122007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20188175598.

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 57516112122007 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-two thousand, seven".

Divisors: 1 7 11 37 77 259 407 2849 20188175543 141317228801 222069930973 746962495091 1554489516811 5228737465637 8216587446001 57516112122007