Base | Representation |
---|---|
bin | 111011101000110… |
… | …1110000011111000 |
3 | 12011110111010112021 |
4 | 1313101232003320 |
5 | 13044242240231 |
6 | 530323124224 |
7 | 100406233243 |
oct | 16721560370 |
9 | 5143433467 |
10 | 2001133816 |
11 | 937651500 |
12 | 47a213674 |
13 | 25b783466 |
14 | 14dab225a |
15 | baa38811 |
hex | 7746e0f8 |
2001133816 has 48 divisors (see below), whose sum is σ = 4180881600. Its totient is φ = 897114240.
The previous prime is 2001133811. The next prime is 2001133819. The reversal of 2001133816 is 6183311002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2001133811) 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 11 ways as a sum of consecutive naturals, for example, 56505 + ... + 84823.
It is an arithmetic number, because the mean of its divisors is an integer number (87101700).
Almost surely, 22001133816 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 2001133816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090440800).
2001133816 is an abundant number, since it is smaller than the sum of its proper divisors (2179747784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001133816 is a wasteful number, since it uses less digits than its factorization.
2001133816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28420 (or 28405 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 25.
The square root of 2001133816 is about 44734.0342021598. The cubic root of 2001133816 is about 1260.1590913589.
Adding to 2001133816 its reverse (6183311002), we get a palindrome (8184444818).
The spelling of 2001133816 in words is "two billion, one million, one hundred thirty-three thousand, eight hundred sixteen".
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