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82008294340 = 2257283681933
BaseRepresentation
bin100110001100000010…
…0110100001111000100
321211200022001222220211
41030120010310033010
52320423110404330
6101401334205204
75632146000100
oct1143004641704
9254608058824
1082008294340
11318635a9375
1213a884b3804
13796c22456b
143d7d792900
1521ee96dd2a
hex13181343c4

82008294340 has 36 divisors (see below), whose sum is σ = 200334549996. Its totient is φ = 28117129152.

The previous prime is 82008294317. The next prime is 82008294343. The reversal of 82008294340 is 4349280028.

It can be written as a sum of positive squares in 2 ways, for example, as 34894987204 + 47113307136 = 186802^2 + 217056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82008294293 and 82008294302.

It is not an unprimeable number, because it can be changed into a prime (82008294343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41839987 + ... + 41841946.

It is an arithmetic number, because the mean of its divisors is an integer number (5564848611).

Almost surely, 282008294340 is an apocalyptic number.

It is an amenable number.

82008294340 is an abundant number, since it is smaller than the sum of its proper divisors (118326255656).

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

82008294340 is a wasteful number, since it uses less digits than its factorization.

82008294340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83681956 (or 83681947 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 82008294340 in words is "eighty-two billion, eight million, two hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 83681933 167363866 334727732 418409665 585773531 836819330 1171547062 1673638660 2343094124 2928867655 4100414717 5857735310 8200829434 11715470620 16401658868 20502073585 41004147170 82008294340