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16898334336 = 2732132294173
BaseRepresentation
bin11111011110011100…
…00001111010000000
31121121200012022211200
433233032001322000
5234101433144321
611432445541200
71135520320602
oct175716017200
947550168750
1016898334336
11719173a774
123337274800
131793c18700
14b643b7172
1568d7e3d26
hex3ef381e80

16898334336 has 576 divisors, whose sum is σ = 56563579800. Its totient is φ = 4830658560.

The previous prime is 16898334331. The next prime is 16898334353. The reversal of 16898334336 is 63343389861.

16898334336 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 12 ways, for example, as 907214400 + 15991119936 = 30120^2 + 126456^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (16898334331) 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 71 ways as a sum of consecutive naturals, for example, 231483996 + ... + 231484068.

Almost surely, 216898334336 is an apocalyptic number.

16898334336 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 16898334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28281789900).

16898334336 is an abundant number, since it is smaller than the sum of its proper divisors (39665245464).

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

16898334336 is a wasteful number, since it uses less digits than its factorization.

16898334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 16898334336 in words is "sixteen billion, eight hundred ninety-eight million, three hundred thirty-four thousand, three hundred thirty-six".