Base | Representation |
---|---|
bin | 111011110011110… |
… | …0111010110000000 |
3 | 12011212021201212010 |
4 | 1313213213112000 |
5 | 13102224422342 |
6 | 531050132520 |
7 | 100506100032 |
oct | 16747472600 |
9 | 5155251763 |
10 | 2006873472 |
11 | 93a91181a |
12 | 480121140 |
13 | 25ca12ac6 |
14 | 150767c52 |
15 | bb2be29c |
hex | 779e7580 |
2006873472 has 64 divisors (see below), whose sum is σ = 5344461360. Its totient is φ = 667238400.
The previous prime is 2006873437. The next prime is 2006873483. The reversal of 2006873472 is 2743786002.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×20068734722 = 8055082265234669568, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2006873472.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 147468 + ... + 160500.
Almost surely, 22006873472 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 2006873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672230680).
2006873472 is an abundant number, since it is smaller than the sum of its proper divisors (3337587888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006873472 is a wasteful number, since it uses less digits than its factorization.
2006873472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13451 (or 13439 counting only the distinct ones).
The product of its (nonzero) digits is 112896, while the sum is 39.
The square root of 2006873472 is about 44798.1413900175. The cubic root of 2006873472 is about 1261.3627382630.
The spelling of 2006873472 in words is "two billion, six million, eight hundred seventy-three thousand, four hundred seventy-two".
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