Base | Representation |
---|---|
bin | 10110111110000010… |
… | …11111010110110000 |
3 | 1011211102011102212000 |
4 | 23133001133112300 |
5 | 200223400104321 |
6 | 5355353534000 |
7 | 614406150564 |
oct | 133701372660 |
9 | 34742142760 |
10 | 12331644336 |
11 | 5258989a00 |
12 | 2481a14300 |
13 | 1216a91b8b |
14 | 84daab6a4 |
15 | 4c2930826 |
hex | 2df05f5b0 |
12331644336 has 240 divisors, whose sum is σ = 39095935200. Its totient is φ = 3718725120.
The previous prime is 12331644293. The next prime is 12331644337. The reversal of 12331644336 is 63344613321.
12331644336 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 644 + 3 + 3 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 12331644336.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12331644337) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14060730 + ... + 14061606.
It is an arithmetic number, because the mean of its divisors is an integer number (162899730).
Almost surely, 212331644336 is an apocalyptic number.
12331644336 is a gapful number since it is divisible by the number (16) 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 12331644336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547967600).
12331644336 is an abundant number, since it is smaller than the sum of its proper divisors (26764290864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12331644336 is a wasteful number, since it uses less digits than its factorization.
12331644336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1185 (or 1162 counting only the distinct ones).
The product of its digits is 93312, while the sum is 36.
The spelling of 12331644336 in words is "twelve billion, three hundred thirty-one million, six hundred forty-four thousand, three hundred thirty-six".
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