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12226113648 = 2433737113967
BaseRepresentation
bin10110110001011101…
…11011000001110000
31011120001120220222000
423120232323001300
5200014341114043
65341104014000
7611655152130
oct133056730160
934501526860
1012226113648
115204360161
122452601300
1311cac62b98
1483da7aac0
154b85372d3
hex2d8bbb070

12226113648 has 320 divisors, whose sum is σ = 41598289920. Its totient is φ = 3365203968.

The previous prime is 12226113637. The next prime is 12226113677. The reversal of 12226113648 is 84631162221.

It is a happy number.

12226113648 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 6 + 1 + 1 + 3 + 648 = 666.

12226113648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12642861 + ... + 12643827.

It is an arithmetic number, because the mean of its divisors is an integer number (129994656).

Almost surely, 212226113648 is an apocalyptic number.

12226113648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20799144960).

12226113648 is an abundant number, since it is smaller than the sum of its proper divisors (29372176272).

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

12226113648 is a wasteful number, since it uses less digits than its factorization.

12226113648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 12226113648 its reverse (84631162221), we get a palindrome (96857275869).

The spelling of 12226113648 in words is "twelve billion, two hundred twenty-six million, one hundred thirteen thousand, six hundred forty-eight".