| Base | Representation |
|---|---|
| bin | 111111011101011… |
| … | …100000110000000 |
| 3 | 2202012101102221100 |
| 4 | 333131130012000 |
| 5 | 4140024304411 |
| 6 | 253351454400 |
| 7 | 35245434510 |
| oct | 7735340600 |
| 9 | 2665342840 |
| 10 | 1064681856 |
| 11 | 4a6a92267 |
| 12 | 258687400 |
| 13 | 13c766184 |
| 14 | a1587840 |
| 15 | 6370b456 |
| hex | 3f75c180 |
1064681856 has 192 divisors, whose sum is σ = 3615206400. Its totient is φ = 294312960.
The previous prime is 1064681837. The next prime is 1064681881. The reversal of 1064681856 is 6581864601.
1064681856 is a `hidden beast` number, since 1 + 0 + 6 + 468 + 185 + 6 = 666.
1064681856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×10646818562 = 2267094908991209472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247855 + ... + 252113.
It is an arithmetic number, because the mean of its divisors is an integer number (18829200).
Almost surely, 21064681856 is an apocalyptic number.
1064681856 is a gapful number since it is divisible by the number (16) 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 1064681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807603200).
1064681856 is an abundant number, since it is smaller than the sum of its proper divisors (2550524544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1064681856 is a wasteful number, since it uses less digits than its factorization.
1064681856 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4317 (or 4302 counting only the distinct ones).
The product of its (nonzero) digits is 276480, while the sum is 45.
The square root of 1064681856 is about 32629.4630050818. The cubic root of 1064681856 is about 1021.1117750647. Note that the first 3 decimals are identical.
The spelling of 1064681856 in words is "one billion, sixty-four million, six hundred eighty-one thousand, eight hundred fifty-six".
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