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57668522586675 = 352711136170917761
BaseRepresentation
bin11010001110010111111111…
…10011011011001000110011
321120012001112111022100210220
431013023333303123020303
530024320113240233200
6322352315322024123
715101261515052460
oct1507137763331063
9246161474270726
1057668522586675
11174140a0648550
126574667648043
13262417000ba80
1410352583d6667
156a0155c554a0
hex3472ffcdb233

57668522586675 has 384 divisors, whose sum is σ = 130305533245440. Its totient is φ = 21728010240000.

The previous prime is 57668522586659. The next prime is 57668522586691.

It is a happy number.

57668522586675 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (57668522586659) and next prime (57668522586691).

It is not a de Polignac number, because 57668522586675 - 24 = 57668522586659 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57668522586675.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3246909795 + ... + 3246927555.

It is an arithmetic number, because the mean of its divisors is an integer number (339337326160).

Almost surely, 257668522586675 is an apocalyptic number.

57668522586675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57668522586675 is an abundant number, since it is smaller than the sum of its proper divisors (72637010658765).

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

57668522586675 is a wasteful number, since it uses less digits than its factorization.

57668522586675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18575 (or 18570 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 78.

The spelling of 57668522586675 in words is "fifty-seven trillion, six hundred sixty-eight billion, five hundred twenty-two million, five hundred eighty-six thousand, six hundred seventy-five".