| Base | Representation |
|---|---|
| bin | 10010100111010111… |
| … | …00001101101101000 |
| 3 | 221210111012101010100 |
| 4 | 21103223201231220 |
| 5 | 130431411310200 |
| 6 | 4331402545400 |
| 7 | 502441233000 |
| oct | 112353415550 |
| 9 | 27714171110 |
| 10 | 9993853800 |
| 11 | 42692a7307 |
| 12 | 1b2ab08260 |
| 13 | c33647a78 |
| 14 | 6ab403000 |
| 15 | 3d7596d00 |
| hex | 253ae1b68 |
9993853800 has 288 divisors, whose sum is σ = 39142584000. Its totient is φ = 2284168320.
The previous prime is 9993853783. The next prime is 9993853817. The reversal of 9993853800 is 83583999.
9993853800 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 (9993853783) and next prime (9993853817).
It is a super-2 number, since 2×99938538002 (a number of 21 digits) contains 22 as substring.
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 71 ways as a sum of consecutive naturals, for example, 609307 + ... + 625493.
It is an arithmetic number, because the mean of its divisors is an integer number (135911750).
Almost surely, 29993853800 is an apocalyptic number.
9993853800 is a gapful number since it is divisible by the number (90) 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 9993853800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571292000).
9993853800 is an abundant number, since it is smaller than the sum of its proper divisors (29148730200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9993853800 is a wasteful number, since it uses less digits than its factorization.
9993853800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16230 (or 16204 counting only the distinct ones).
The product of its (nonzero) digits is 2099520, while the sum is 54.
The square root of 9993853800 is about 99969.2642765765. The cubic root of 9993853800 is about 2153.9932133563.
The spelling of 9993853800 in words is "nine billion, nine hundred ninety-three million, eight hundred fifty-three thousand, eight hundred".
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