Search a number
-
+
12364211076 = 2237147192989
BaseRepresentation
bin10111000001111011…
…01110001110000100
31011220200110000000120
423200331232032010
5200310214223301
65402515541540
7615253026420
oct134075561604
934820400016
1012364211076
115275302868
1224908ba8b0
131220755239
14854147b80
154c5714e36
hex2e0f6e384

12364211076 has 24 divisors (see below), whose sum is σ = 32971229760. Its totient is φ = 3532631712.

The previous prime is 12364211071. The next prime is 12364211081. The reversal of 12364211076 is 67011246321.

12364211076 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 (12364211071) and next prime (12364211081).

It is a super-4 number, since 4×123642110764 (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12364211071) 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 7 ways as a sum of consecutive naturals, for example, 73596411 + ... + 73596578.

It is an arithmetic number, because the mean of its divisors is an integer number (1373801240).

Almost surely, 212364211076 is an apocalyptic number.

It is an amenable number.

12364211076 is an abundant number, since it is smaller than the sum of its proper divisors (20607018684).

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

12364211076 is a wasteful number, since it uses less digits than its factorization.

12364211076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147193003 (or 147193001 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 12364211076 its reverse (67011246321), we get a palindrome (79375457397).

The spelling of 12364211076 in words is "twelve billion, three hundred sixty-four million, two hundred eleven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 147192989 294385978 441578967 588771956 883157934 1030350923 1766315868 2060701846 3091052769 4121403692 6182105538 12364211076