| Base | Representation |
|---|---|
| bin | 100110100111111011… |
| … | …0010000000000000000 |
| 3 | 21221002111202202210000 |
| 4 | 1031033312100000000 |
| 5 | 2324332131000000 |
| 6 | 102034241440000 |
| 7 | 5664300236661 |
| oct | 1151766200000 |
| 9 | 257074682700 |
| 10 | 82944000000 |
| 11 | 321a37a8934 |
| 12 | 140a9940000 |
| 13 | 7a8b03cc54 |
| 14 | 402bb65368 |
| 15 | 2256ba0000 |
| hex | 134fd90000 |
82944000000 has 595 divisors, whose sum is σ = 309753671821. Its totient is φ = 22118400000.
The previous prime is 82943999947. The next prime is 82944000017. The reversal of 82944000000 is 44928.
The square root of 82944000000 is 288000.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 3 ways, for example, as 72666906624 + 10277093376 = 269568^2 + 101376^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 16588799998 + ... + 16588800002.
Almost surely, 282944000000 is an apocalyptic number.
82944000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
82944000000 is the 288000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82944000000
82944000000 is an abundant number, since it is smaller than the sum of its proper divisors (226809671821).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82944000000 is an frugal number, since it uses more digits than its factorization.
82944000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Multiplying 82944000000 by its product of nonzero digits (2304), we get a 6-th power (191102976000000 = 2406).
82944000000 divided by its product of nonzero digits (2304) gives a square (36000000 = 60002).
Adding to 82944000000 its reverse (44928), we get a palindrome (82944044928).
The spelling of 82944000000 in words is "eighty-two billion, nine hundred forty-four million", and thus it is an aban number.
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