Base | Representation |
---|---|
bin | 10110111111001001… |
… | …01010111010000000 |
3 | 1011212001111222112121 |
4 | 23133210222322000 |
5 | 200233230213223 |
6 | 5400323334024 |
7 | 614550431113 |
oct | 133744527200 |
9 | 34761458477 |
10 | 12340866688 |
11 | 5263108887 |
12 | 2484b21314 |
13 | 12189707a7 |
14 | 850dcc57a |
15 | 4c365315d |
hex | 2df92ae80 |
12340866688 has 64 divisors (see below), whose sum is σ = 25052832000. Its totient is φ = 6053529600.
The previous prime is 12340866679. The next prime is 12340866697. The reversal of 12340866688 is 88666804321.
12340866688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12340866679) and next prime (12340866697).
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×123408666882 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 4537393 + ... + 4540111.
It is an arithmetic number, because the mean of its divisors is an integer number (391450500).
Almost surely, 212340866688 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12340866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12526416000).
12340866688 is an abundant number, since it is smaller than the sum of its proper divisors (12711965312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12340866688 is an equidigital number, since it uses as much as digits as its factorization.
12340866688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3393 (or 3381 counting only the distinct ones).
The product of its (nonzero) digits is 2654208, while the sum is 52.
It can be divided in two parts, 123408 and 66688, that added together give a square (190096 = 4362).
The spelling of 12340866688 in words is "twelve billion, three hundred forty million, eight hundred sixty-six thousand, six hundred eighty-eight".
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