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12327442115328 = 2832191427197339
BaseRepresentation
bin1011001101100011010011…
…0011101110101100000000
31121122111021122012000210100
42303120310303232230000
53103433100140142303
642115052043002400
72411425336041114
oct263306463565400
947574248160710
1012327442115328
113a2304777555a
121471183509400
136b561b997c52
1430891956b744
151659e98968a3
hexb3634ceeb00

12327442115328 has 216 divisors, whose sum is σ = 37440149947200. Its totient is φ = 3890128730112.

The previous prime is 12327442115279. The next prime is 12327442115341. The reversal of 12327442115328 is 82351124472321.

12327442115328 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 74 + 42 + 1 + 1 + 532 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62369683 + ... + 62567021.

Almost surely, 212327442115328 is an apocalyptic number.

12327442115328 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 12327442115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720074973600).

12327442115328 is an abundant number, since it is smaller than the sum of its proper divisors (25112707831872).

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

12327442115328 is a wasteful number, since it uses less digits than its factorization.

12327442115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198807 (or 198790 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

Adding to 12327442115328 its reverse (82351124472321), we get a palindrome (94678566587649).

The spelling of 12327442115328 in words is "twelve trillion, three hundred twenty-seven billion, four hundred forty-two million, one hundred fifteen thousand, three hundred twenty-eight".