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12243245742 = 234731317997
BaseRepresentation
bin10110110011100000…
…10001101010101110
31011121020211022210000
423121300101222232
5200033232330432
65342515125130
7612253605000
oct133160215256
934536738700
1012243245742
115212aa1812
1224582a37a6
131201680b10
1484205a370
154b9cbd57c
hex2d9c11aae

12243245742 has 320 divisors, whose sum is σ = 36517219200. Its totient is φ = 3035999232.

The previous prime is 12243245719. The next prime is 12243245743. The reversal of 12243245742 is 24754234221.

12243245742 is a `hidden beast` number, since 1 + 22 + 43 + 24 + 574 + 2 = 666.

12243245742 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 2×122432457422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12243245697 and 12243245706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243245743) 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 159 ways as a sum of consecutive naturals, for example, 12279588 + ... + 12280584.

It is an arithmetic number, because the mean of its divisors is an integer number (114116310).

Almost surely, 212243245742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243245742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258609600).

12243245742 is an abundant number, since it is smaller than the sum of its proper divisors (24273973458).

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

12243245742 is a wasteful number, since it uses less digits than its factorization.

12243245742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1039 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

Adding to 12243245742 its reverse (24754234221), we get a palindrome (36997479963).

The spelling of 12243245742 in words is "twelve billion, two hundred forty-three million, two hundred forty-five thousand, seven hundred forty-two".