Search a number
-
+
12322237696 = 28277717333
BaseRepresentation
bin10110111100111011…
…00110110100000000
31011210202110112100221
423132131212310000
5200213443101241
65354420152424
7614233202146
oct133635466400
934722415327
1012322237696
11525364461a
12247a838714
131214b4a412
1484c73d596
154c1bc35d1
hex2de766d00

12322237696 has 36 divisors (see below), whose sum is σ = 24606618372. Its totient is φ = 6158544896.

The previous prime is 12322237693. The next prime is 12322237723. The reversal of 12322237696 is 69673222321.

12322237696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1187767296 + 11134470400 = 34464^2 + 105520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322237691) 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 3 ways as a sum of consecutive naturals, for example, 702246 + ... + 719578.

It is an arithmetic number, because the mean of its divisors is an integer number (683517177).

Almost surely, 212322237696 is an apocalyptic number.

12322237696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12322237696 is a deficient number, since it is larger than the sum of its proper divisors (12284380676).

12322237696 is an equidigital number, since it uses as much as digits as its factorization.

12322237696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20126 (or 20112 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The spelling of 12322237696 in words is "twelve billion, three hundred twenty-two million, two hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 2777 5554 11108 17333 22216 34666 44432 69332 88864 138664 177728 277328 355456 554656 710912 1109312 2218624 4437248 48133741 96267482 192534964 385069928 770139856 1540279712 3080559424 6161118848 12322237696