Base | Representation |
---|---|
bin | 10110011011010111… |
… | …01001110001100000 |
3 | 1011002010201022002100 |
4 | 23031223221301200 |
5 | 144124410112133 |
6 | 5310442050400 |
7 | 604244215350 |
oct | 131553516140 |
9 | 34063638070 |
10 | 12040707168 |
11 | 5119735566 |
12 | 24004a9a00 |
13 | 119b7181c9 |
14 | 8231b6b60 |
15 | 4a7111e13 |
hex | 2cdae9c60 |
12040707168 has 144 divisors (see below), whose sum is σ = 39172756896. Its totient is φ = 3436646400.
The previous prime is 12040707167. The next prime is 12040707187. The reversal of 12040707168 is 86170704021.
12040707168 is a `hidden beast` number, since 120 + 407 + 0 + 71 + 68 = 666.
12040707168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12040707167) 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 23 ways as a sum of consecutive naturals, for example, 2418730 + ... + 2423702.
It is an arithmetic number, because the mean of its divisors is an integer number (272033034).
Almost surely, 212040707168 is an apocalyptic number.
12040707168 is a gapful number since it is divisible by the number (18) 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 12040707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586378448).
12040707168 is an abundant number, since it is smaller than the sum of its proper divisors (27132049728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12040707168 is a wasteful number, since it uses less digits than its factorization.
12040707168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6197 (or 6186 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 36.
The spelling of 12040707168 in words is "twelve billion, forty million, seven hundred seven thousand, one hundred sixty-eight".
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