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82104062931 = 32113923211403
BaseRepresentation
bin100110001110111001…
…0001001001111010011
321211220222021112201200
41030131302021033103
52321122120003211
6101415035002243
75634421006602
oct1143562111723
9254828245650
1082104062931
113190266a770
1213ab4599383
137986016077
143d8c3a1a39
152208089b56
hex131dc893d3

82104062931 has 24 divisors (see below), whose sum is σ = 129409690176. Its totient is φ = 49747118640.

The previous prime is 82104062897. The next prime is 82104062947. The reversal of 82104062931 is 13926040128.

82104062931 is a `hidden beast` number, since 8 + 21 + 0 + 4 + 0 + 629 + 3 + 1 = 666.

It is not a de Polignac number, because 82104062931 - 214 = 82104046547 is a prime.

It is a super-2 number, since 2×821040629312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82104062951) by changing a digit.

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, 282676 + ... + 494078.

It is an arithmetic number, because the mean of its divisors is an integer number (5392070424).

Almost surely, 282104062931 is an apocalyptic number.

82104062931 is a deficient number, since it is larger than the sum of its proper divisors (47305627245).

82104062931 is a wasteful number, since it uses less digits than its factorization.

82104062931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215343 (or 215340 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 82104062931 in words is "eighty-two billion, one hundred four million, sixty-two thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 33 99 3923 11769 35307 43153 129459 211403 388377 634209 1902627 2325433 6976299 20928897 829333969 2488001907 7464005721 9122673659 27368020977 82104062931