| Base | Representation |
|---|---|
| bin | 10010110000000001001111… |
| … | …100001100111100100000000 |
| 3 | 101210222112211011120122211201 |
| 4 | 102300001033201213210000 |
| 5 | 41302100204302433224 |
| 6 | 451215432454150544 |
| 7 | 23240610204014041 |
| oct | 2260011741474400 |
| 9 | 353875734518751 |
| 10 | 82464706296064 |
| 11 | 243040a3943264 |
| 12 | 92ba267352454 |
| 13 | 3702508518571 |
| 14 | 16514551468c8 |
| 15 | 980169d00a44 |
| hex | 4b004f867900 |
82464706296064 has 243 divisors, whose sum is σ = 171633471332211. Its totient is φ = 39543794196480.
The previous prime is 82464706296061. The next prime is 82464706296083. The reversal of 82464706296064 is 46069260746428.
The square root of 82464706296064 is 9081008.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 10320747358464 + 72143958937600 = 3212592^2 + 8493760^2 .
It is a Harshad number since it is a multiple of its sum of digits (64).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 82464706295987 and 82464706296005.
It is not an unprimeable number, because it can be changed into a prime (82464706296061) 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 26 ways as a sum of consecutive naturals, for example, 649328395969 + ... + 649328396095.
Almost surely, 282464706296064 is an apocalyptic number.
82464706296064 is the 9081008-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82464706296064
82464706296064 is an abundant number, since it is smaller than the sum of its proper divisors (89168765036147).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82464706296064 is an frugal number, since it uses more digits than its factorization.
82464706296064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 570 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 167215104, while the sum is 64.
82464706296064 divided by its sum of digits (64) gives a square (1288511035876 = 11351262).
The spelling of 82464706296064 in words is "eighty-two trillion, four hundred sixty-four billion, seven hundred six million, two hundred ninety-six thousand, sixty-four".
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