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115131287552742 = 23264133193006461
BaseRepresentation
bin11010001011011000010111…
…011111110100001011100110
3120002122102222101100121110200
4122023120113133310023212
5110042302334103141432
61044510330000131330
733151650430205316
oct3213302737641346
9502572871317420
10115131287552742
11337589a53a225a
1210ab526b306b46
134c31aabc07776
142060553b93446
15d49c67d29a7c
hex68b6177f42e6

115131287552742 has 48 divisors (see below), whose sum is σ = 249915641245920. Its totient is φ = 38305667635200.

The previous prime is 115131287552719. The next prime is 115131287552761. The reversal of 115131287552742 is 247255782131511.

115131287552742 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 1 + 2 + 8 + 75 + 527 + 42 = 666.

115131287552742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36791392 + ... + 39797852.

It is an arithmetic number, because the mean of its divisors is an integer number (5206575859290).

Almost surely, 2115131287552742 is an apocalyptic number.

115131287552742 is an abundant number, since it is smaller than the sum of its proper divisors (134784353693178).

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

115131287552742 is a wasteful number, since it uses less digits than its factorization.

115131287552742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010429 (or 3010426 counting only the distinct ones).

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

The spelling of 115131287552742 in words is "one hundred fifteen trillion, one hundred thirty-one billion, two hundred eighty-seven million, five hundred fifty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 641 1282 1923 3319 3846 5769 6638 9957 11538 19914 29871 59742 2127479 3006461 4254958 6012922 6382437 9019383 12764874 18038766 19147311 27058149 38294622 54116298 1927141501 3854283002 5781424503 9978444059 11562849006 17344273509 19956888118 29935332177 34688547018 59870664354 89805996531 179611993062 6396182641819 12792365283638 19188547925457 38377095850914 57565643776371 115131287552742