| Base | Representation |
|---|---|
| bin | 10010110011100010011001… |
| … | …000101111000000000000000 |
| 3 | 101211211122211022101112020100 |
| 4 | 102303202121011320000000 |
| 5 | 41320030311412042140 |
| 6 | 451522453403242400 |
| 7 | 23264226101416350 |
| oct | 2263423105700000 |
| 9 | 354748738345210 |
| 10 | 82706458705920 |
| 11 | 24397680871a05 |
| 12 | 9339095819400 |
| 13 | 371c2549867aa |
| 14 | 165d02a440b60 |
| 15 | 9865b8a14530 |
| hex | 4b3899178000 |
82706458705920 has 768 divisors, whose sum is σ = 334643780090880. Its totient is φ = 18502005030912.
The previous prime is 82706458705891. The next prime is 82706458705921. The reversal of 82706458705920 is 2950785460728.
82706458705920 is a `hidden beast` number, since 8 + 27 + 0 + 6 + 4 + 587 + 0 + 5 + 9 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a super-2 number, since 2×827064587059202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82706458705921) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485044999 + ... + 485215481.
It is an arithmetic number, because the mean of its divisors is an integer number (435734088660).
Almost surely, 282706458705920 is an apocalyptic number.
82706458705920 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 82706458705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167321890045440).
82706458705920 is an abundant number, since it is smaller than the sum of its proper divisors (251937321384960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82706458705920 is a wasteful number, since it uses less digits than its factorization.
82706458705920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 170578 (or 170547 counting only the distinct ones).
The product of its (nonzero) digits is 67737600, while the sum is 63.
The spelling of 82706458705920 in words is "eighty-two trillion, seven hundred six billion, four hundred fifty-eight million, seven hundred five thousand, nine hundred twenty".
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