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8120242494 = 2337137272273
BaseRepresentation
bin1111001000000000…
…10001000100111110
3202221220200001121000
413210000101010332
5113112240224434
63421432551130
7405140631240
oct74400210476
922856601530
108120242494
113497735411
1216a75524a6
139c5423520
14570648090
15327d4cb99
hex1e401113e

8120242494 has 128 divisors (see below), whose sum is σ = 22249543680. Its totient is φ = 2137715712.

The previous prime is 8120242463. The next prime is 8120242513. The reversal of 8120242494 is 4942420218.

8120242494 is a `hidden beast` number, since 8 + 120 + 2 + 42 + 494 = 666.

It is a super-2 number, since 2×81202424942 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3571342 + ... + 3573614.

It is an arithmetic number, because the mean of its divisors is an integer number (173824560).

Almost surely, 28120242494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120242494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124771840).

8120242494 is an abundant number, since it is smaller than the sum of its proper divisors (14129301186).

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

8120242494 is a wasteful number, since it uses less digits than its factorization.

8120242494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8120242494 is about 90112.3881272714. The cubic root of 8120242494 is about 2009.9704205939.

The spelling of 8120242494 in words is "eight billion, one hundred twenty million, two hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 727 819 1454 1638 2181 2273 2457 4362 4546 4914 5089 6543 6819 9451 10178 13086 13638 15267 15911 18902 19629 20457 28353 29549 30534 31822 39258 40914 45801 47733 56706 59098 61371 66157 85059 88647 91602 95466 122742 132314 137403 143199 170118 177294 198471 206843 255177 265941 274806 286398 396942 413686 429597 510354 531882 595413 620529 797823 859194 1190826 1241058 1595646 1652471 1786239 1861587 3304942 3572478 3723174 4957413 5584761 9914826 11169522 11567297 14872239 21482123 23134594 29744478 34701891 42964246 44616717 64446369 69403782 89233434 104105673 128892738 150374861 193339107 208211346 300749722 312317019 386678214 451124583 580017321 624634038 902249166 1160034642 1353373749 2706747498 4060121247 8120242494