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57055341168 = 2434773101853
BaseRepresentation
bin110101001000110000…
…110110101001110000
312110021021200122020000
4311020300312221300
51413322131404133
642113313550000
74056612253350
oct651060665160
9173237618200
1057055341168
1122219286321
12b083875300
1354c3681207
142a93774b60
15173de91413
hexd48c36a70

57055341168 has 400 divisors, whose sum is σ = 193431327936. Its totient is φ = 15900364800.

The previous prime is 57055341151. The next prime is 57055341169. The reversal of 57055341168 is 86114355075.

57055341168 is a `hidden beast` number, since 57 + 0 + 5 + 534 + 1 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57055341169) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66887430 + ... + 66888282.

Almost surely, 257055341168 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 57055341168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96715663968).

57055341168 is an abundant number, since it is smaller than the sum of its proper divisors (136375986768).

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

57055341168 is a wasteful number, since it uses less digits than its factorization.

57055341168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 57055341168 in words is "fifty-seven billion, fifty-five million, three hundred forty-one thousand, one hundred sixty-eight".