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114866162208 = 2536723172
BaseRepresentation
bin110101011111010001…
…1101000101000100000
3101222111012221122000000
41222332203220220200
53340221214142313
6124434020300000
711204330161200
oct1527643505040
9358435848000
10114866162208
1144794a54876
121a318541600
13aaa76c8225
1457b95a6400
152ec4413673
hex1abe8e8a20

114866162208 has 378 divisors, whose sum is σ = 395663745141. Its totient is φ = 32715373824.

The previous prime is 114866162189. The next prime is 114866162231. The reversal of 114866162208 is 802261668411.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

114866162208 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 6 + 616 + 2 + 20 + 8 = 666.

114866162208 is digitally balanced in base 3, 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 2 ways, for example, as 83838044304 + 31028117904 = 289548^2 + 176148^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=239652.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 362353666 + ... + 362353982.

Almost surely, 2114866162208 is an apocalyptic number.

114866162208 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 114866162208

114866162208 is an abundant number, since it is smaller than the sum of its proper divisors (280797582933).

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

114866162208 is an frugal number, since it uses more digits than its factorization.

114866162208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 114866162208 in words is "one hundred fourteen billion, eight hundred sixty-six million, one hundred sixty-two thousand, two hundred eight".