| Base | Representation |
|---|---|
| bin | 10011111001011100… |
| … | …11011001000110000 |
| 3 | 1000120110222011112000 |
| 4 | 21330232123020300 |
| 5 | 133334203313102 |
| 6 | 4524002334000 |
| 7 | 525502401042 |
| oct | 117456331060 |
| 9 | 30513864460 |
| 10 | 10682479152 |
| 11 | 4591a87774 |
| 12 | 20a165a300 |
| 13 | 10132039a7 |
| 14 | 734a59a92 |
| 15 | 427c6e01c |
| hex | 27cb9b230 |
10682479152 has 160 divisors (see below), whose sum is σ = 31643808000. Its totient is φ = 3448189440.
The previous prime is 10682479151. The next prime is 10682479153. The reversal of 10682479152 is 25197428601.
10682479152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10682479151) and next prime (10682479153).
It is a super-2 number, since 2×106824791522 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10682479098 and 10682479107.
It is not an unprimeable number, because it can be changed into a prime (10682479151) 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 31 ways as a sum of consecutive naturals, for example, 2459799 + ... + 2464137.
It is an arithmetic number, because the mean of its divisors is an integer number (197773800).
Almost surely, 210682479152 is an apocalyptic number.
10682479152 is a gapful number since it is divisible by the number (12) 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 10682479152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821904000).
10682479152 is an abundant number, since it is smaller than the sum of its proper divisors (20961328848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10682479152 is a wasteful number, since it uses less digits than its factorization.
10682479152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4536 (or 4524 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The spelling of 10682479152 in words is "ten billion, six hundred eighty-two million, four hundred seventy-nine thousand, one hundred fifty-two".
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