| Base | Representation |
|---|---|
| bin | 10011110111001100… |
| … | …11001110011000000 |
| 3 | 1000112011102222020002 |
| 4 | 21323212121303000 |
| 5 | 133314340134141 |
| 6 | 4522045535132 |
| 7 | 525153045530 |
| oct | 117346316300 |
| 9 | 30464388202 |
| 10 | 10663599296 |
| 11 | 4582361a89 |
| 12 | 20972744a8 |
| 13 | 100c32338c |
| 14 | 7323434c0 |
| 15 | 42628ee9b |
| hex | 27b999cc0 |
10663599296 has 112 divisors (see below), whose sum is σ = 25390181376. Its totient is φ = 4344536064.
The previous prime is 10663599293. The next prime is 10663599361. The reversal of 10663599296 is 69299536601.
10663599296 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 (112).
It is a super-2 number, since 2×106635992962 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (56).
It is not an unprimeable number, because it can be changed into a prime (10663599293) 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 15 ways as a sum of consecutive naturals, for example, 1717670 + ... + 1723866.
It is an arithmetic number, because the mean of its divisors is an integer number (226698048).
Almost surely, 210663599296 is an apocalyptic number.
10663599296 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 10663599296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695090688).
10663599296 is an abundant number, since it is smaller than the sum of its proper divisors (14726582080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10663599296 is a wasteful number, since it uses less digits than its factorization.
10663599296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6406 (or 6396 counting only the distinct ones).
The product of its (nonzero) digits is 4723920, while the sum is 56.
The spelling of 10663599296 in words is "ten billion, six hundred sixty-three million, five hundred ninety-nine thousand, two hundred ninety-six".
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