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12665346342 = 23111092836221
BaseRepresentation
bin10111100101110100…
…11101100100100110
31012200200002020221120
423302322131210212
5201414312040332
65452434154410
7625600444665
oct136272354446
935620066846
1012665346342
11540a292190
122555722a06
13126ac5c99c
14882134ddc
154e1d9a32c
hex2f2e9d926

12665346342 has 64 divisors (see below), whose sum is σ = 27990040320. Its totient is φ = 3788726400.

The previous prime is 12665346319. The next prime is 12665346371. The reversal of 12665346342 is 24364356621.

It is a happy number.

12665346342 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12665346294 and 12665346303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2032792 + ... + 2039012.

It is an arithmetic number, because the mean of its divisors is an integer number (437344380).

Almost surely, 212665346342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12665346342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995020160).

12665346342 is an abundant number, since it is smaller than the sum of its proper divisors (15324693978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12665346342 is a wasteful number, since it uses less digits than its factorization.

12665346342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629.

The product of its digits is 622080, while the sum is 42.

The spelling of 12665346342 in words is "twelve billion, six hundred sixty-five million, three hundred forty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 218 283 327 566 654 849 1199 1698 2398 3113 3597 6221 6226 7194 9339 12442 18663 18678 30847 37326 61694 68431 92541 136862 185082 205293 339317 410586 678089 678634 1017951 1356178 1760543 2034267 2035902 3521086 4068534 5281629 7458979 10563258 14917958 19365973 22376937 38731946 44753874 58097919 116195838 191899187 383798374 575697561 1151395122 2110891057 4221782114 6332673171 12665346342