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8182072314 = 23213197177493
BaseRepresentation
bin1111001111011000…
…01000001111111010
3210010020000100011100
413213230020033322
5113224102303224
63431522112230
7406521316143
oct74754101772
923106010140
108182072314
113519626039
1217041ab676
13a05191310
14578940aca
1532d4b2ac9
hex1e7b083fa

8182072314 has 48 divisors (see below), whose sum is σ = 19188521352. Its totient is φ = 2504767104.

The previous prime is 8182072309. The next prime is 8182072343. The reversal of 8182072314 is 4132702818.

It can be written as a sum of positive squares in 4 ways, for example, as 5517964089 + 2664108225 = 74283^2 + 51615^2 .

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 23 ways as a sum of consecutive naturals, for example, 42649 + ... + 134844.

Almost surely, 28182072314 is an apocalyptic number.

8182072314 is an abundant number, since it is smaller than the sum of its proper divisors (11006449038).

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

8182072314 is a wasteful number, since it uses less digits than its factorization.

8182072314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177711 (or 177708 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8182072314 is about 90454.8081309114. The cubic root of 8182072314 is about 2015.0590211907.

The spelling of 8182072314 in words is "eight billion, one hundred eighty-two million, seventy-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2561 3546 5122 7683 15366 23049 46098 177493 354986 532479 1064958 1597437 2307409 3194874 4614818 6922227 13844454 20766681 34966121 41533362 69932242 104898363 209796726 314695089 454559573 629390178 909119146 1363678719 2727357438 4091036157 8182072314