| Base | Representation |
|---|---|
| bin | 11000000100110101001… |
| … | …01100001100010000000 |
| 3 | 2221002012220000021201200 |
| 4 | 30002122211201202000 |
| 5 | 102023130133430033 |
| 6 | 1432004542501200 |
| 7 | 113523314412024 |
| oct | 14023245414200 |
| 9 | 2832186007650 |
| 10 | 827227248768 |
| 11 | 299909241788 |
| 12 | 1143a4894800 |
| 13 | 60012a6516b |
| 14 | 2c076440384 |
| 15 | 167b87b5013 |
| hex | c09a961880 |
827227248768 has 216 divisors, whose sum is σ = 2410748823015. Its totient is φ = 272274670080.
The previous prime is 827227248761. The next prime is 827227248811. The reversal of 827227248768 is 867842722728.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
827227248768 is a `hidden beast` number, since 8 + 2 + 7 + 22 + 72 + 487 + 68 = 666.
It can be written as a sum of positive squares in only one way, i.e., 413613624384 + 413613624384 = 643128^2 + 643128^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=643128.
It is a super-2 number, since 2×8272272487682 (a number of 25 digits) contains 22 as substring.
Its product of digits (67436544) is a multiple of the sum of its prime divisors (343).
It is not an unprimeable number, because it can be changed into a prime (827227248761) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3920508183 + ... + 3920508393.
Almost surely, 2827227248768 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 827227248768
827227248768 is an abundant number, since it is smaller than the sum of its proper divisors (1583521574247).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
827227248768 is an equidigital number, since it uses as much as digits as its factorization.
827227248768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 696 (or 343 counting only the distinct ones).
The product of its digits is 67436544, while the sum is 63.
The spelling of 827227248768 in words is "eight hundred twenty-seven billion, two hundred twenty-seven million, two hundred forty-eight thousand, seven hundred sixty-eight".
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