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12296043648 = 273471937241
BaseRepresentation
bin10110111001110011…
…01011110010000000
31011201221011201220000
423130321223302000
5200140241344043
65352042520000
7613464434520
oct133471536200
934657151800
1012296043648
11523a883649
122471b06000
13120c5a8895
14849081680
154be74c2d3
hex2dce6bc80

12296043648 has 640 divisors, whose sum is σ = 45398812800. Its totient is φ = 3224862720.

The previous prime is 12296043637. The next prime is 12296043649. The reversal of 12296043648 is 84634069221.

12296043648 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 604 + 36 + 4 + 8 = 666.

12296043648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122960436482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12296043649) 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 79 ways as a sum of consecutive naturals, for example, 51020808 + ... + 51021048.

It is an arithmetic number, because the mean of its divisors is an integer number (70935645).

Almost surely, 212296043648 is an apocalyptic number.

12296043648 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 12296043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699406400).

12296043648 is an abundant number, since it is smaller than the sum of its proper divisors (33102769152).

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

12296043648 is a wasteful number, since it uses less digits than its factorization.

12296043648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12296043648 in words is "twelve billion, two hundred ninety-six million, forty-three thousand, six hundred forty-eight".