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57341158368 = 253131273311093
BaseRepresentation
bin110101011001110011…
…001010001111100000
312111000012111122201020
4311121303022033200
51414413314031433
642201524005440
74066652542554
oct653163121740
9174005448636
1057341158368
1122355652a8a
12b143530880
13553a954610
142abd6d5864
1517590eccb3
hexd59cca3e0

57341158368 has 192 divisors, whose sum is σ = 164018921472. Its totient is φ = 17435658240.

The previous prime is 57341158363. The next prime is 57341158403. The reversal of 57341158368 is 86385114375.

57341158368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57341158368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57341158363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52461630 + ... + 52462722.

It is an arithmetic number, because the mean of its divisors is an integer number (854265216).

Almost surely, 257341158368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57341158368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82009460736).

57341158368 is an abundant number, since it is smaller than the sum of its proper divisors (106677763104).

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

57341158368 is a wasteful number, since it uses less digits than its factorization.

57341158368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 57341158368 in words is "fifty-seven billion, three hundred forty-one million, one hundred fifty-eight thousand, three hundred sixty-eight".