| Base | Representation |
|---|---|
| bin | 100110011010111111… |
| … | …1000011000000110000 |
| 3 | 21212222021022021210100 |
| 4 | 1030311333003000300 |
| 5 | 2322440041122410 |
| 6 | 101523221432400 |
| 7 | 5650451156655 |
| oct | 1146577030060 |
| 9 | 255867267710 |
| 10 | 82510098480 |
| 11 | 31aa0888237 |
| 12 | 13ba856b700 |
| 13 | 7a1c18b8a4 |
| 14 | 3dca297c2c |
| 15 | 222da418c0 |
| hex | 1335fc3030 |
82510098480 has 240 divisors, whose sum is σ = 288228695040. Its totient is φ = 21129638400.
The previous prime is 82510098479. The next prime is 82510098481. The reversal of 82510098480 is 8489001528.
It is a happy number.
82510098480 is a `hidden beast` number, since 8 + 2 + 510 + 0 + 98 + 48 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (82510098479) and next prime (82510098481).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (82510098481) by changing a digit.
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, 2909811 + ... + 2938029.
It is an arithmetic number, because the mean of its divisors is an integer number (1200952896).
Almost surely, 282510098480 is an apocalyptic number.
82510098480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82510098480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144114347520).
82510098480 is an abundant number, since it is smaller than the sum of its proper divisors (205718596560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82510098480 is a wasteful number, since it uses less digits than its factorization.
82510098480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28400 (or 28391 counting only the distinct ones).
The product of its (nonzero) digits is 184320, while the sum is 45.
The spelling of 82510098480 in words is "eighty-two billion, five hundred ten million, ninety-eight thousand, four hundred eighty".
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