Base | Representation |
---|---|
bin | 1100000000000000000… |
… | …0000000000000000000 |
3 | 201201010112110100120010 |
4 | 3000000000000000000 |
5 | 11334203024231313 |
6 | 234412522344520 |
7 | 20615540513013 |
oct | 3000000000000 |
9 | 651115410503 |
10 | 206158430208 |
11 | 7a482071a45 |
12 | 33b5605b140 |
13 | 16596179013 |
14 | 9d99d7137a |
15 | 5568e544c3 |
hex | 3000000000 |
206158430208 has 74 divisors (see below), whose sum is σ = 549755813884. Its totient is φ = 68719476736.
The previous prime is 206158430183. The next prime is 206158430209. The reversal of 206158430208 is 802034851602.
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)33.
It is an ABA number since it can be written as A⋅BA, here for A=3, B=4096.
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 2.
It is not an unprimeable number, because it can be changed into a prime (206158430209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 206158430208 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68719476735 + 68719476736 + 68719476737.
Almost surely, 2206158430208 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 206158430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274877906942).
206158430208 is an abundant number, since it is smaller than the sum of its proper divisors (343597383676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206158430208 is an frugal number, since it uses more digits than its factorization.
206158430208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 39.
The spelling of 206158430208 in words is "two hundred six billion, one hundred fifty-eight million, four hundred thirty thousand, two hundred eight".
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