Base | Representation |
---|---|
bin | 10010101101111100101001… |
… | …110000001110011010000000 |
3 | 101210110221100022202221000000 |
4 | 102231330221300032122000 |
5 | 41242232122144421313 |
6 | 451030205454000000 |
7 | 23224410203115330 |
oct | 2255745160163200 |
9 | 353427308687000 |
10 | 82322338670208 |
11 | 2425978704983a |
12 | 92967547a6000 |
13 | 36c1c6a294430 |
14 | 16485cb2c50c0 |
15 | 97b5d6300673 |
hex | 4adf29c0e680 |
82322338670208 has 1792 divisors, whose sum is σ = 318374048563200. Its totient is φ = 20597681922048.
The previous prime is 82322338670189. The next prime is 82322338670239. The reversal of 82322338670208 is 80207683322328.
It is a happy number.
82322338670208 is a `hidden beast` number, since 8 + 2 + 32 + 2 + 338 + 6 + 70 + 208 = 666.
It is a super-3 number, since 3×823223386702083 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24803354373 + ... + 24803357691.
It is an arithmetic number, because the mean of its divisors is an integer number (177664089600).
Almost surely, 282322338670208 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82322338670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159187024281600).
82322338670208 is an abundant number, since it is smaller than the sum of its proper divisors (236051709892992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82322338670208 is a wasteful number, since it uses less digits than its factorization.
82322338670208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3521 (or 3494 counting only the distinct ones).
The product of its (nonzero) digits is 9289728, while the sum is 54.
The spelling of 82322338670208 in words is "eighty-two trillion, three hundred twenty-two billion, three hundred thirty-eight million, six hundred seventy thousand, two hundred eight".
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