| Base | Representation |
|---|---|
| bin | 10010101010111111… |
| … | …01101100110000000 |
| 3 | 221212121111202210000 |
| 4 | 21111133231212000 |
| 5 | 131012210424133 |
| 6 | 4334411440000 |
| 7 | 503261144664 |
| oct | 112537554600 |
| 9 | 27777452700 |
| 10 | 10024311168 |
| 11 | 428450a393 |
| 12 | 1b39156000 |
| 13 | c39a4cc91 |
| 14 | 6b14908a4 |
| 15 | 3da0b1413 |
| hex | 2557ed980 |
10024311168 has 320 divisors, whose sum is σ = 31469137920. Its totient is φ = 3161410560.
The previous prime is 10024311133. The next prime is 10024311181. The reversal of 10024311168 is 86111342001.
It is a happy number.
10024311168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
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, 30284763 + ... + 30285093.
It is an arithmetic number, because the mean of its divisors is an integer number (98341056).
Almost surely, 210024311168 is an apocalyptic number.
10024311168 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 10024311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734568960).
10024311168 is an abundant number, since it is smaller than the sum of its proper divisors (21444826752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10024311168 is a wasteful number, since it uses less digits than its factorization.
10024311168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 507 (or 486 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
Adding to 10024311168 its reverse (86111342001), we get a palindrome (96135653169).
The spelling of 10024311168 in words is "ten billion, twenty-four million, three hundred eleven thousand, one hundred sixty-eight".
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