Base | Representation |
---|---|
bin | 1001011001110000100001… |
… | …00111011011010000100000 |
3 | 2201012122000111122122200000 |
4 | 10230320100213123100200 |
5 | 10202224430320134124 |
6 | 111550312211100000 |
7 | 4232544532353063 |
oct | 454702047332040 |
9 | 81178014578600 |
10 | 20676251333664 |
11 | 6651826938163 |
12 | 239b2428a1600 |
13 | b6c9ba543094 |
14 | 516a4346c8da |
15 | 25cc840466c9 |
hex | 12ce109db420 |
20676251333664 has 288 divisors, whose sum is σ = 61200151084800. Its totient is φ = 6866771853312.
The previous prime is 20676251333609. The next prime is 20676251333669. The reversal of 20676251333664 is 46633315267602.
20676251333664 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 62 + 513 + 3 + 3 + 6 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 20676251333664.
It is not an unprimeable number, because it can be changed into a prime (20676251333669) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643004057 + ... + 2643011879.
It is an arithmetic number, because the mean of its divisors is an integer number (212500524600).
Almost surely, 220676251333664 is an apocalyptic number.
20676251333664 is a gapful number since it is divisible by the number (24) 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 20676251333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600075542400).
20676251333664 is an abundant number, since it is smaller than the sum of its proper divisors (40523899751136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20676251333664 is an equidigital number, since it uses as much as digits as its factorization.
20676251333664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9054 (or 9034 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 54.
The spelling of 20676251333664 in words is "twenty trillion, six hundred seventy-six billion, two hundred fifty-one million, three hundred thirty-three thousand, six hundred sixty-four".
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