Base | Representation |
---|---|
bin | 1100010010110100001… |
… | …0011001010100000000 |
3 | 202012011111222220002200 |
4 | 3010231002121110000 |
5 | 11430024001001232 |
6 | 241010021513200 |
7 | 21154645610601 |
oct | 3045502312400 |
9 | 665144886080 |
10 | 211209000192 |
11 | 81633a79a23 |
12 | 34b25572800 |
13 | 16bbc632578 |
14 | a318a37da8 |
15 | 576254977c |
hex | 312d099500 |
211209000192 has 432 divisors, whose sum is σ = 654946656000. Its totient is φ = 65265647616.
The previous prime is 211209000187. The next prime is 211209000193. The reversal of 211209000192 is 291000902112.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211209000193) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542953534 + ... + 542953922.
Almost surely, 2211209000192 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 211209000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327473328000).
211209000192 is an abundant number, since it is smaller than the sum of its proper divisors (443737655808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211209000192 is a wasteful number, since it uses less digits than its factorization.
211209000192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 666 (or 649 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 27.
The spelling of 211209000192 in words is "two hundred eleven billion, two hundred nine million, one hundred ninety-two", and thus it is an aban number.
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