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57337000930 = 25114713184659
BaseRepresentation
bin110101011001100011…
…010011001111100010
312110222220200102210001
4311121203103033202
51414411233012210
642201254530214
74066602316006
oct653143231742
9173886612701
1057337000930
1122353273490
12b14206696a
135539b2a1b1
142abcd32706
151758a7b03a
hexd598d33e2

57337000930 has 64 divisors (see below), whose sum is σ = 115863644160. Its totient is φ = 20250193600.

The previous prime is 57337000921. The next prime is 57337001009. The reversal of 57337000930 is 3900073375.

57337000930 is a nontrivial binomial coefficient, being equal to C(338636, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 57337000930.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 634941 + ... + 719599.

It is an arithmetic number, because the mean of its divisors is an integer number (1810369440).

Almost surely, 257337000930 is an apocalyptic number.

57337000930 is the 338635-th triangular number and also the 169318-th hexagonal number.

57337000930 is the 112879-th centered nonagonal number.

57337000930 is an abundant number, since it is smaller than the sum of its proper divisors (58526643230).

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

57337000930 is a wasteful number, since it uses less digits than its factorization.

57337000930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84855.

The product of its (nonzero) digits is 59535, while the sum is 37.

It can be divided in two parts, 573 and 37000930, that added together give a triangular number (37001503 = T8602).

The spelling of 57337000930 in words is "fifty-seven billion, three hundred thirty-seven million, nine hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 47 55 94 110 131 235 262 470 517 655 1034 1310 1441 2585 2882 5170 6157 7205 12314 14410 30785 61570 67727 84659 135454 169318 338635 423295 677270 846590 931249 1862498 3978973 4656245 7957946 9312490 11090329 19894865 22180658 39789730 43768703 55451645 87537406 110903290 121993619 218843515 243987238 437687030 521245463 609968095 1042490926 1219936190 2606227315 5212454630 5733700093 11467400186 28668500465 57337000930