Base | Representation |
---|---|
bin | 11001011010010001… |
… | …11011001100001000 |
3 | 1022012202020101110200 |
4 | 30231020323030020 |
5 | 210414401404300 |
6 | 10133412012200 |
7 | 662031632034 |
oct | 145510731410 |
9 | 38182211420 |
10 | 13642216200 |
11 | 5870747a48 |
12 | 2788901060 |
13 | 139545baa2 |
14 | 935b811c4 |
15 | 54ca0d200 |
hex | 32d23b308 |
13642216200 has 108 divisors (see below), whose sum is σ = 45831757335. Its totient is φ = 3636602880.
The previous prime is 13642216187. The next prime is 13642216207. The reversal of 13642216200 is 261224631.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
13642216200 is a `hidden beast` number, since 1 + 3 + 642 + 2 + 16 + 2 + 0 + 0 = 666.
It can be written as a sum of positive squares in 5 ways, for example, as 11479408164 + 2162808036 = 107142^2 + 46506^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=82590.
It is a super-2 number, since 2×136422162002 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (13642216207) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4954024 + ... + 4956776.
Almost surely, 213642216200 is an apocalyptic number.
13642216200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13642216200
13642216200 is an abundant number, since it is smaller than the sum of its proper divisors (32189541135).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13642216200 is an equidigital number, since it uses as much as digits as its factorization.
13642216200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5528 (or 2763 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The spelling of 13642216200 in words is "thirteen billion, six hundred forty-two million, two hundred sixteen thousand, two hundred".
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