Base | Representation |
---|---|
bin | 10110000010011111… |
… | …00000000000000000 |
3 | 1010112120222220101012 |
4 | 23001033200000000 |
5 | 143212443004022 |
6 | 5234024500052 |
7 | 566131226213 |
oct | 130117400000 |
9 | 33476886335 |
10 | 11832000512 |
11 | 5021946122 |
12 | 236261a628 |
13 | 1167402c47 |
14 | 8035a977a |
15 | 493b37de2 |
hex | 2c13e0000 |
11832000512 has 36 divisors (see below), whose sum is σ = 23664172896. Its totient is φ = 5915934720.
The previous prime is 11832000491. The next prime is 11832000517. The reversal of 11832000512 is 21500023811.
It is a happy number.
It is a super-2 number, since 2×118320005122 (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 (11832000517) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85937 + ... + 176207.
It is an arithmetic number, because the mean of its divisors is an integer number (657338136).
Almost surely, 211832000512 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11832000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832086448).
11832000512 is an abundant number, since it is smaller than the sum of its proper divisors (11832172384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11832000512 is an frugal number, since it uses more digits than its factorization.
11832000512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90305 (or 90273 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 23.
The spelling of 11832000512 in words is "eleven billion, eight hundred thirty-two million, five hundred twelve", and thus it is an aban number.
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