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57585261087 = 3247136135369
BaseRepresentation
bin110101101000010110…
…010101101000011111
312111122012211100200200
4311220112111220133
51420413311323322
642242043554543
74106005433364
oct655026255037
9174565740620
1057585261087
1122470418a72
12b1b122ba53
1355793b09b3
142b03cb846b
1517707698ac
hexd68595a1f

57585261087 has 12 divisors (see below), whose sum is σ = 84948470880. Its totient is φ = 37573361568.

The previous prime is 57585261043. The next prime is 57585261109. The reversal of 57585261087 is 78016258575.

57585261087 is a `hidden beast` number, since 5 + 7 + 5 + 8 + 526 + 108 + 7 = 666.

It is not a de Polignac number, because 57585261087 - 215 = 57585228319 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57585261787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68067262 + ... + 68068107.

It is an arithmetic number, because the mean of its divisors is an integer number (7079039240).

Almost surely, 257585261087 is an apocalyptic number.

57585261087 is a deficient number, since it is larger than the sum of its proper divisors (27363209793).

57585261087 is a wasteful number, since it uses less digits than its factorization.

57585261087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136135422 (or 136135419 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 57585261087 in words is "fifty-seven billion, five hundred eighty-five million, two hundred sixty-one thousand, eighty-seven".

Divisors: 1 3 9 47 141 423 136135369 408406107 1225218321 6398362343 19195087029 57585261087