Base | Representation |
---|---|
bin | 100110011111110111… |
… | …0100011011011110010 |
3 | 21220101122212100000000 |
4 | 1030333232203123302 |
5 | 2323303412000434 |
6 | 101551341010430 |
7 | 5654504361153 |
oct | 1147756433362 |
9 | 256348770000 |
10 | 82673546994 |
11 | 32075075555 |
12 | 14033253a16 |
13 | 7a46cb8b9c |
14 | 4003c8392a |
15 | 223d07ab99 |
hex | 133fba36f2 |
82673546994 has 72 divisors (see below), whose sum is σ = 186609568860. Its totient is φ = 27468440064.
The previous prime is 82673546987. The next prime is 82673547017. The reversal of 82673546994 is 49964537628.
82673546994 is a `hidden beast` number, since 82 + 6 + 7 + 3 + 5 + 469 + 94 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 81432041769 + 1241505225 = 285363^2 + 35235^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4097122 + ... + 4117250.
Almost surely, 282673546994 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82673546994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93304784430).
82673546994 is an abundant number, since it is smaller than the sum of its proper divisors (103936021866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82673546994 is an equidigital number, since it uses as much as digits as its factorization.
82673546994 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20468 (or 20447 counting only the distinct ones).
The product of its digits is 78382080, while the sum is 63.
The spelling of 82673546994 in words is "eighty-two billion, six hundred seventy-three million, five hundred forty-six thousand, nine hundred ninety-four".
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