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57486342863808 = 263217191917332207
BaseRepresentation
bin11010001001000100101010…
…00010111011101111000000
321112112122022002000112220200
431010202111002323233000
530013324012233120213
6322132510014205200
715052152111005265
oct1504422502735700
9245478262015820
1057486342863808
1117353903976311
1265452a3ab3800
13260cc289154a1
14102a4d4d1b26c
1569a541ed8273
hex3448950bbbc0

57486342863808 has 672 divisors, whose sum is σ = 184946421104640. Its totient is φ = 16965392302080.

The previous prime is 57486342863797. The next prime is 57486342863813. The reversal of 57486342863808 is 80836824368475.

57486342863808 is a `hidden beast` number, since 5 + 7 + 4 + 8 + 63 + 428 + 63 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26047277041 + ... + 26047279247.

Almost surely, 257486342863808 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 57486342863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92473210552320).

57486342863808 is an abundant number, since it is smaller than the sum of its proper divisors (127460078240832).

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

57486342863808 is a wasteful number, since it uses less digits than its factorization.

57486342863808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 72.

The spelling of 57486342863808 in words is "fifty-seven trillion, four hundred eighty-six billion, three hundred forty-two million, eight hundred sixty-three thousand, eight hundred eight".