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57145885335 = 32571116492319
BaseRepresentation
bin110101001110001010…
…010000001010010111
312110111121001202110200
4311032022100022113
51414013321312320
642130310351543
74062062003460
oct651612201227
9173447052420
1057145885335
11222653a9510
12b0aa05b5b3
135509363a46
142aa17c3d67
151746dc9290
hexd4e290297

57145885335 has 48 divisors (see below), whose sum is σ = 123494492160. Its totient is φ = 23748937920.

The previous prime is 57145885297. The next prime is 57145885351. The reversal of 57145885335 is 53358854175.

57145885335 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 588 + 53 + 3 + 5 = 666.

It is not a de Polignac number, because 57145885335 - 27 = 57145885207 is a prime.

It is a super-3 number, since 3×571458853353 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8242695 + ... + 8249624.

It is an arithmetic number, because the mean of its divisors is an integer number (2572801920).

Almost surely, 257145885335 is an apocalyptic number.

57145885335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57145885335 is an abundant number, since it is smaller than the sum of its proper divisors (66348606825).

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

57145885335 is a wasteful number, since it uses less digits than its factorization.

57145885335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16492348 (or 16492345 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 57145885335 in words is "fifty-seven billion, one hundred forty-five million, eight hundred eighty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 16492319 49476957 82461595 115446233 148430871 181415509 247384785 346338699 544246527 577231165 742154355 907077545 1039016097 1269908563 1632739581 1731693495 2721232635 3809725689 5195080485 6349542815 8163697905 11429177067 19048628445 57145885335