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8120853648 = 2432137411641
BaseRepresentation
bin1111001000000101…
…00110010010010000
3202221221211002221100
413210002212102100
5113112414304043
63421454024400
7405146055105
oct74402462220
922857732840
108120853648
1134980125a6
1216a77a8100
139c55a875b
14570766aac
15327e1dcd3
hex1e40a6490

8120853648 has 60 divisors (see below), whose sum is σ = 22893058188. Its totient is φ = 2687185920.

The previous prime is 8120853599. The next prime is 8120853659. The reversal of 8120853648 is 8463580218.

8120853648 is a `hidden beast` number, since 81 + 208 + 5 + 364 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3598560144 + 4522293504 = 59988^2 + 67248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186093 + ... + 225548.

Almost surely, 28120853648 is an apocalyptic number.

It is an amenable number.

8120853648 is an abundant number, since it is smaller than the sum of its proper divisors (14772204540).

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

8120853648 is a wasteful number, since it uses less digits than its factorization.

8120853648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411792 (or 411783 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8120853648 is about 90115.7791288518. The cubic root of 8120853648 is about 2010.0208448124.

The spelling of 8120853648 in words is "eight billion, one hundred twenty million, eight hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 411641 823282 1234923 1646564 2469846 3293128 3704769 4939692 6586256 7409538 9879384 14819076 19758768 29638152 56394817 59276304 112789634 169184451 225579268 338368902 451158536 507553353 676737804 902317072 1015106706 1353475608 2030213412 2706951216 4060426824 8120853648