Search a number
-
+
12340164584 = 23114133110333
BaseRepresentation
bin10110111111000011…
…11111011111101000
31011212000012022102202
423133201333133220
5200233040231314
65400300315332
7614541445136
oct133741773750
934760168382
1012340164584
115262779330
122484842b48
131218786047
14850c88756
154c35650de
hex2df87f7e8

12340164584 has 64 divisors (see below), whose sum is σ = 25937513280. Its totient is φ = 5455296000.

The previous prime is 12340164521. The next prime is 12340164607. The reversal of 12340164584 is 48546104321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189082 + ... + 1199414.

It is an arithmetic number, because the mean of its divisors is an integer number (405273645).

Almost surely, 212340164584 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 12340164584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968756640).

12340164584 is an abundant number, since it is smaller than the sum of its proper divisors (13597348696).

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

12340164584 is a wasteful number, since it uses less digits than its factorization.

12340164584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10722 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 12340164584 in words is "twelve billion, three hundred forty million, one hundred sixty-four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 331 451 662 902 1324 1804 2648 3608 3641 7282 10333 13571 14564 20666 27142 29128 41332 54284 82664 108568 113663 149281 227326 298562 423653 454652 597124 847306 909304 1194248 1694612 3389224 3420223 4660183 6840446 9320366 13680892 18640732 27361784 37281464 37622453 75244906 140229143 150489812 280458286 300979624 560916572 1121833144 1542520573 3085041146 6170082292 12340164584