Search a number
-
+
57168264285 = 32511197976943
BaseRepresentation
bin110101001111011111…
…100111110001011101
312110120011011201121200
4311033133213301131
51414040033424120
642132430150113
74062453141306
oct651737476135
9173504151550
1057168264285
1122276aa4110
12b0b5652339
135510b9ac22
142aa476b7ad
151748d49e90
hexd4f7e7c5d

57168264285 has 96 divisors (see below), whose sum is σ = 115231334400. Its totient is φ = 25926376320.

The previous prime is 57168264281. The next prime is 57168264313. The reversal of 57168264285 is 58246286175.

57168264285 is a `hidden beast` number, since 57 + 168 + 2 + 6 + 428 + 5 = 666.

It is not a de Polignac number, because 57168264285 - 22 = 57168264281 is a prime.

It is a super-2 number, since 2×571682642852 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57168264281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704524 + ... + 781466.

It is an arithmetic number, because the mean of its divisors is an integer number (1200326400).

Almost surely, 257168264285 is an apocalyptic number.

57168264285 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57168264285 is an abundant number, since it is smaller than the sum of its proper divisors (58063070115).

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

57168264285 is a wasteful number, since it uses less digits than its factorization.

57168264285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77063 (or 77060 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 57168264285 in words is "fifty-seven billion, one hundred sixty-eight million, two hundred sixty-four thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 79 95 99 165 171 209 237 285 395 495 627 711 855 869 1045 1185 1501 1881 2607 3135 3555 4345 4503 7505 7821 9405 13035 13509 16511 22515 39105 49533 67545 76943 82555 148599 230829 247665 384715 692487 742995 846373 1154145 1461917 2539119 3462435 4231865 4385751 6078497 7309585 7617357 12695595 13157253 16081087 18235491 21928755 30392485 38086785 48243261 54706473 65786265 66863467 80405435 91177455 115491443 144729783 200590401 241216305 273532365 334317335 346474329 577457215 601771203 723648915 1002952005 1039422987 1270405873 1732371645 3008856015 3811217619 5197114935 6352029365 11433652857 19056088095 57168264285