| Base | Representation |
|---|---|
| bin | 10010101011000000… |
| … | …01101110100111110 |
| 3 | 221212121202110220000 |
| 4 | 21111200031310332 |
| 5 | 131012224140243 |
| 6 | 4334414335130 |
| 7 | 503262234630 |
| oct | 112540156476 |
| 9 | 27777673800 |
| 10 | 10024443198 |
| 11 | 428459a600 |
| 12 | 1b391ba4a6 |
| 13 | c39a980c3 |
| 14 | 6b14c6a50 |
| 15 | 3da0da5d3 |
| hex | 25580dd3e |
10024443198 has 240 divisors, whose sum is σ = 28890153600. Its totient is φ = 2541702240.
The previous prime is 10024443157. The next prime is 10024443199. The reversal of 10024443198 is 89134442001.
It is a happy number.
10024443198 is a `hidden beast` number, since 1 + 0 + 0 + 24 + 443 + 198 = 666.
10024443198 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 2×100244431982 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10024443199) 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, 5899353 + ... + 5901051.
It is an arithmetic number, because the mean of its divisors is an integer number (120375640).
Almost surely, 210024443198 is an apocalyptic number.
10024443198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10024443198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445076800).
10024443198 is an abundant number, since it is smaller than the sum of its proper divisors (18865710402).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10024443198 is a wasteful number, since it uses less digits than its factorization.
10024443198 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1785 (or 1765 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
Adding to 10024443198 its reverse (89134442001), we get a palindrome (99158885199).
The spelling of 10024443198 in words is "ten billion, twenty-four million, four hundred forty-three thousand, one hundred ninety-eight".
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