| Base | Representation |
|---|---|
| bin | 10010101110110110… |
| … | …00110001101110000 |
| 3 | 221221212101001011200 |
| 4 | 21113123012031300 |
| 5 | 131044000440403 |
| 6 | 4341525011200 |
| 7 | 504133110000 |
| oct | 112733061560 |
| 9 | 27855331150 |
| 10 | 10056655728 |
| 11 | 42a07a1329 |
| 12 | 1b47b53b00 |
| 13 | c43666182 |
| 14 | 6b58b0000 |
| 15 | 3dcd4eca3 |
| hex | 2576c6370 |
10056655728 has 600 divisors, whose sum is σ = 36573217200. Its totient is φ = 2566803456.
The previous prime is 10056655727. The next prime is 10056655733. The reversal of 10056655728 is 82755665001.
10056655728 is a `hidden beast` number, since 10 + 0 + 5 + 6 + 65 + 572 + 8 = 666.
10056655728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×100566557282 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10056655727) 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 119 ways as a sum of consecutive naturals, for example, 170451763 + ... + 170451821.
It is an arithmetic number, because the mean of its divisors is an integer number (60955362).
Almost surely, 210056655728 is an apocalyptic number.
10056655728 is a gapful number since it is divisible by the number (18) 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 10056655728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286608600).
10056655728 is an abundant number, since it is smaller than the sum of its proper divisors (26516561472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10056655728 is a wasteful number, since it uses less digits than its factorization.
10056655728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 504000, while the sum is 45.
The spelling of 10056655728 in words is "ten billion, fifty-six million, six hundred fifty-five thousand, seven hundred twenty-eight".
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