| Base | Representation |
|---|---|
| bin | 100110100000000001… |
| … | …1100001111010000000 |
| 3 | 21220102001012200220000 |
| 4 | 1031000003201322000 |
| 5 | 2323311313431020 |
| 6 | 101552054520000 |
| 7 | 5654602202433 |
| oct | 1150003417200 |
| 9 | 256361180800 |
| 10 | 82679045760 |
| 11 | 32078190893 |
| 12 | 14035066000 |
| 13 | 7a481929ac |
| 14 | 40048b581a |
| 15 | 223d7b5090 |
| hex | 13400e1e80 |
82679045760 has 640 divisors, whose sum is σ = 326302732800. Its totient is φ = 19843743744.
The previous prime is 82679045753. The next prime is 82679045767. The reversal of 82679045760 is 6754097628.
82679045760 is a `hidden beast` number, since 8 + 2 + 67 + 9 + 0 + 4 + 576 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (82679045753) and next prime (82679045767).
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 82679045697 and 82679045706.
It is not an unprimeable number, because it can be changed into a prime (82679045767) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20267401 + ... + 20271479.
It is an arithmetic number, because the mean of its divisors is an integer number (509848020).
Almost surely, 282679045760 is an apocalyptic number.
82679045760 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 82679045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163151366400).
82679045760 is an abundant number, since it is smaller than the sum of its proper divisors (243623687040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82679045760 is a wasteful number, since it uses less digits than its factorization.
82679045760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4150 (or 4129 counting only the distinct ones).
The product of its (nonzero) digits is 5080320, while the sum is 54.
The spelling of 82679045760 in words is "eighty-two billion, six hundred seventy-nine million, forty-five thousand, seven hundred sixty".
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