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82104839946 = 2331520459999
BaseRepresentation
bin100110001110111010…
…1000110111100001010
321211221000202000121000
41030131311012330022
52321122314334241
6101415103355430
75634430424133
oct1143565067412
9254830660530
1082104839946
1131903050528
1213ab48b2b76
13798622893c
143d8c524c8a
15220818eeb6
hex131dd46f0a

82104839946 has 16 divisors (see below), whose sum is σ = 182455200000. Its totient is φ = 27368279964.

The previous prime is 82104839917. The next prime is 82104840001. The reversal of 82104839946 is 64993840128.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1520459999 = 82104839946 / (8 + 2 + 1 + 0 + 4 + 8 + 3 + 9 + 9 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 82104839892 and 82104839901.

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 7 ways as a sum of consecutive naturals, for example, 760229946 + ... + 760230053.

It is an arithmetic number, because the mean of its divisors is an integer number (11403450000).

Almost surely, 282104839946 is an apocalyptic number.

82104839946 is an abundant number, since it is smaller than the sum of its proper divisors (100350360054).

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

82104839946 is a wasteful number, since it uses less digits than its factorization.

82104839946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520460010 (or 1520460004 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 82104839946 in words is "eighty-two billion, one hundred four million, eight hundred thirty-nine thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 1520459999 3040919998 4561379997 9122759994 13684139991 27368279982 41052419973 82104839946