Base | Representation |
---|---|
bin | 10011010100011110100… |
… | …10000001000011001110 |
3 | 2100110110101001111100110 |
4 | 21222033102001003032 |
5 | 41334010140001431 |
6 | 1224543031340450 |
7 | 65650203640434 |
oct | 11521722010316 |
9 | 2313411044313 |
10 | 663828828366 |
11 | 23658a082020 |
12 | a87a2b21726 |
13 | 4a7a27066c2 |
14 | 241b5450d54 |
15 | 124037d3346 |
hex | 9a8f4810ce |
663828828366 has 128 divisors (see below), whose sum is σ = 1526817600000. Its totient is φ = 190540152320.
The previous prime is 663828828359. The next prime is 663828828367.
663828828366 is nontrivially palindromic in base 10.
It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a Harshad number since it is a multiple of its sum of digits (66).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 663828828297 and 663828828306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (663828828367) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 57473560 + ... + 57485108.
It is an arithmetic number, because the mean of its divisors is an integer number (11928262500).
Almost surely, 2663828828366 is an apocalyptic number.
663828828366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 663828828366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763408800000).
663828828366 is an abundant number, since it is smaller than the sum of its proper divisors (862988771634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
663828828366 is a wasteful number, since it uses less digits than its factorization.
663828828366 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12162.
The product of its digits is 191102976, while the sum is 66.
The spelling of 663828828366 in words is "six hundred sixty-three billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred sixty-six".
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