Base | Representation |
---|---|
bin | 111011111000000… |
… | …1010101100101000 |
3 | 12012000111122020200 |
4 | 1313300022230220 |
5 | 13103313143212 |
6 | 531210152200 |
7 | 100534125252 |
oct | 16760125450 |
9 | 5160448220 |
10 | 2009115432 |
11 | 941103185 |
12 | 480a22660 |
13 | 2603193cc |
14 | 150b8ccd2 |
15 | bb5b36dc |
hex | 77c0ab28 |
2009115432 has 96 divisors (see below), whose sum is σ = 5530454280. Its totient is φ = 658828800.
The previous prime is 2009115431. The next prime is 2009115457. The reversal of 2009115432 is 2345119002.
It can be written as a sum of positive squares in 4 ways, for example, as 2008294596 + 820836 = 44814^2 + 906^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2009115396 and 2009115405.
It is not an unprimeable number, because it can be changed into a prime (2009115431) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257258 + ... + 1258854.
Almost surely, 22009115432 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 2009115432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765227140).
2009115432 is an abundant number, since it is smaller than the sum of its proper divisors (3521338848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2009115432 is a wasteful number, since it uses less digits than its factorization.
2009115432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 2009115432 is about 44823.1573185112. The cubic root of 2009115432 is about 1261.8322700055.
The spelling of 2009115432 in words is "two billion, nine million, one hundred fifteen thousand, four hundred thirty-two".
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