Base | Representation |
---|---|
bin | 100110100111111000… |
… | …0000011010000011110 |
3 | 21221002101201012121200 |
4 | 1031033300003100132 |
5 | 2324331221444232 |
6 | 102034142540330 |
7 | 5664250361130 |
oct | 1151760032036 |
9 | 257071635550 |
10 | 82942374942 |
11 | 321a2898a09 |
12 | 140a92976a6 |
13 | 7a8a8c138b |
14 | 402b861050 |
15 | 225697d77c |
hex | 134fc0341e |
82942374942 has 96 divisors (see below), whose sum is σ = 212293945344. Its totient is φ = 22902264000.
The previous prime is 82942374929. The next prime is 82942374953. The reversal of 82942374942 is 24947324928.
82942374942 is a `hidden beast` number, since 82 + 9 + 42 + 37 + 494 + 2 = 666.
It is a super-2 number, since 2×829423749422 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2942817 + ... + 2970867.
It is an arithmetic number, because the mean of its divisors is an integer number (2211395264).
Almost surely, 282942374942 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82942374942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106146972672).
82942374942 is an abundant number, since it is smaller than the sum of its proper divisors (129351570402).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82942374942 is a wasteful number, since it uses less digits than its factorization.
82942374942 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28854 (or 28851 counting only the distinct ones).
The product of its digits is 6967296, while the sum is 54.
The spelling of 82942374942 in words is "eighty-two billion, nine hundred forty-two million, three hundred seventy-four thousand, nine hundred forty-two".
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