| Base | Representation |
|---|---|
| bin | 11000000100111011001… |
| … | …11010111110000000000 |
| 3 | 2221002100102122000000000 |
| 4 | 30002131213113300000 |
| 5 | 102023231141032030 |
| 6 | 1432014000000000 |
| 7 | 113524502345166 |
| oct | 14023547276000 |
| 9 | 2832312560000 |
| 10 | 827278064640 |
| 11 | 29993499a475 |
| 12 | 1143b9900000 |
| 13 | 60020447a21 |
| 14 | 2c07d0ab236 |
| 15 | 167bcea1860 |
| hex | c09d9d7c00 |
827278064640 has 440 divisors, whose sum is σ = 2977059035280. Its totient is φ = 220580610048.
The previous prime is 827278064633. The next prime is 827278064647. The reversal of 827278064640 is 46460872728.
It is a happy number.
827278064640 is a `hidden beast` number, since 82 + 7 + 27 + 80 + 6 + 464 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (827278064633) and next prime (827278064647).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (827278064647) 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 39 ways as a sum of consecutive naturals, for example, 100772856 + ... + 100781064.
It is an arithmetic number, because the mean of its divisors is an integer number (6766043262).
Almost surely, 2827278064640 is an apocalyptic number.
827278064640 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 827278064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488529517640).
827278064640 is an abundant number, since it is smaller than the sum of its proper divisors (2149780970640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
827278064640 is an frugal number, since it uses more digits than its factorization.
827278064640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8261 (or 8219 counting only the distinct ones).
The product of its (nonzero) digits is 7225344, while the sum is 54.
The spelling of 827278064640 in words is "eight hundred twenty-seven billion, two hundred seventy-eight million, sixty-four thousand, six hundred forty".
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