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12247014528 = 273272192601
BaseRepresentation
bin10110110011111101…
…01001110010000000
31011121111220210120200
423121332221302000
5200040213431103
65343132005200
7612330622500
oct133176516200
934544823520
1012247014528
115215136311
122459600800
1312023a0378
1484275ba00
154ba2b50a3
hex2d9fa9c80

12247014528 has 432 divisors, whose sum is σ = 43339096710. Its totient is φ = 3309465600.

The previous prime is 12247014517. The next prime is 12247014529. The reversal of 12247014528 is 82541074221.

12247014528 is a `hidden beast` number, since 1 + 22 + 470 + 145 + 28 = 666.

12247014528 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 only one way, i.e., 8568834624 + 3678179904 = 92568^2 + 60648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12247014492 and 12247014501.

It is not an unprimeable number, because it can be changed into a prime (12247014529) 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 53 ways as a sum of consecutive naturals, for example, 20377428 + ... + 20378028.

Almost surely, 212247014528 is an apocalyptic number.

12247014528 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 12247014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669548355).

12247014528 is an abundant number, since it is smaller than the sum of its proper divisors (31092082182).

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

12247014528 is a wasteful number, since it uses less digits than its factorization.

12247014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 12247014528 its reverse (82541074221), we get a palindrome (94788088749).

The spelling of 12247014528 in words is "twelve billion, two hundred forty-seven million, fourteen thousand, five hundred twenty-eight".