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16412236416 = 273361127613
BaseRepresentation
bin11110100100011111…
…01101101010000000
31120100210111222212000
433102033231222000
5232103013031131
611312323104000
71120465464522
oct172217555200
946323458760
1016412236416
116a62309154
123220512000
1317172c02c4
14b199dda12
15660cc4ce6
hex3d23eda80

16412236416 has 256 divisors, whose sum is σ = 49701580800. Its totient is φ = 5329981440.

The previous prime is 16412236387. The next prime is 16412236417. The reversal of 16412236416 is 61463221461.

16412236416 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 2 + 2 + 3 + 641 + 6 = 666.

16412236416 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 not an unprimeable number, because it can be changed into a prime (16412236417) 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 31 ways as a sum of consecutive naturals, for example, 26773326 + ... + 26773938.

It is an arithmetic number, because the mean of its divisors is an integer number (194146800).

Almost surely, 216412236416 is an apocalyptic number.

16412236416 is a gapful number since it is divisible by the number (16) 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 16412236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24850790400).

16412236416 is an abundant number, since it is smaller than the sum of its proper divisors (33289344384).

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

16412236416 is a wasteful number, since it uses less digits than its factorization.

16412236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 806 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 16412236416 its reverse (61463221461), we get a palindrome (77875457877).

The spelling of 16412236416 in words is "sixteen billion, four hundred twelve million, two hundred thirty-six thousand, four hundred sixteen".