| Base | Representation |
|---|---|
| bin | 10010110000111100000010… |
| … | …000001010001001101110000 |
| 3 | 101211012120202101212102220000 |
| 4 | 102300330002001101031300 |
| 5 | 41304113444100322403 |
| 6 | 451304432324350000 |
| 7 | 23245303400511654 |
| oct | 2260740201211560 |
| 9 | 354176671772800 |
| 10 | 82527830479728 |
| 11 | 2432894689a797 |
| 12 | 930a543545300 |
| 13 | 37084582ba22a |
| 14 | 16545228caa64 |
| 15 | 981b119777a3 |
| hex | 4b0f02051370 |
82527830479728 has 400 divisors, whose sum is σ = 248387967732960. Its totient is φ = 26436626491392.
The previous prime is 82527830479727. The next prime is 82527830479729. The reversal of 82527830479728 is 82797403872528.
82527830479728 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 7 + 83 + 0 + 479 + 72 + 8 = 666.
82527830479728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (82527830479727) and next prime (82527830479729).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82527830479727) 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 79 ways as a sum of consecutive naturals, for example, 1122531226 + ... + 1122604742.
Almost surely, 282527830479728 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 82527830479728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124193983866480).
82527830479728 is an abundant number, since it is smaller than the sum of its proper divisors (165860137253232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82527830479728 is a wasteful number, since it uses less digits than its factorization.
82527830479728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73926 (or 73911 counting only the distinct ones).
The product of its (nonzero) digits is 758661120, while the sum is 72.
The spelling of 82527830479728 in words is "eighty-two trillion, five hundred twenty-seven billion, eight hundred thirty million, four hundred seventy-nine thousand, seven hundred twenty-eight".
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