Search a number
-
+
12340866688 = 27596012719
BaseRepresentation
bin10110111111001001…
…01010111010000000
31011212001111222112121
423133210222322000
5200233230213223
65400323334024
7614550431113
oct133744527200
934761458477
1012340866688
115263108887
122484b21314
1312189707a7
14850dcc57a
154c365315d
hex2df92ae80

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".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 601 944 1202 1888 2404 2719 3776 4808 5438 7552 9616 10876 19232 21752 35459 38464 43504 70918 76928 87008 141836 160421 174016 283672 320842 348032 567344 641684 1134688 1283368 1634119 2269376 2566736 3268238 4538752 5133472 6536476 10266944 13072952 20533888 26145904 52291808 96413021 104583616 192826042 209167232 385652084 771304168 1542608336 3085216672 6170433344 12340866688