| Base | Representation |
|---|---|
| bin | 1111110101100111111001… |
| … | …10100010011110100010000 |
| 3 | 11120022111201210122012020000 |
| 4 | 13322303330310103310100 |
| 5 | 14031104402110011211 |
| 6 | 202023404232250000 |
| 7 | 10223141152636140 |
| oct | 772637464236420 |
| 9 | 146274653565200 |
| 10 | 34827836407056 |
| 11 | 10108447768000 |
| 12 | 3aa5a4bb40900 |
| 13 | 1658335254114 |
| 14 | 8859679b8920 |
| 15 | 405e42c75656 |
| hex | 1facfcd13d10 |
34827836407056 has 3200 divisors, whose sum is σ = 141706130227200. Its totient is φ = 8054822476800.
The previous prime is 34827836407051. The next prime is 34827836407061. The reversal of 34827836407056 is 65070463872843.
34827836407056 is a `hidden beast` number, since 3 + 4 + 82 + 78 + 36 + 407 + 0 + 56 = 666.
It is an interprime number because it is at equal distance from previous prime (34827836407051) and next prime (34827836407061).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 34827836406984 and 34827836407002.
It is not an unprimeable number, because it can be changed into a prime (34827836407051) by changing a digit.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 419612486791 + ... + 419612486873.
It is an arithmetic number, because the mean of its divisors is an integer number (44283165696).
Almost surely, 234827836407056 is an apocalyptic number.
34827836407056 is a gapful number since it is divisible by the number (36) 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 34827836407056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70853065113600).
34827836407056 is an abundant number, since it is smaller than the sum of its proper divisors (106878293820144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34827836407056 is a wasteful number, since it uses less digits than its factorization.
34827836407056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 252 (or 215 counting only the distinct ones).
The product of its (nonzero) digits is 162570240, while the sum is 63.
The spelling of 34827836407056 in words is "thirty-four trillion, eight hundred twenty-seven billion, eight hundred thirty-six million, four hundred seven thousand, fifty-six".
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