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96881614848 = 213322575113
BaseRepresentation
bin101101000111010011…
…0000010000000000000
3100021001211211222000100
41122032212002000000
53041403143133343
6112301245122400
76666550065414
oct1321646020000
9307054758010
1096881614848
11380a6167197
1216939559400
13919c748325
144990c3cd44
1527c05ad9d3
hex168e982000

96881614848 has 168 divisors, whose sum is σ = 281007048348. Its totient is φ = 32161923072.

The previous prime is 96881614759. The next prime is 96881614853. The reversal of 96881614848 is 84841618869.

96881614848 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 1 + 614 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96865357824 + 16257024 = 311232^2 + 4032^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18945540 + ... + 18950652.

Almost surely, 296881614848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96881614848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140503524174).

96881614848 is an abundant number, since it is smaller than the sum of its proper divisors (184125433500).

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

96881614848 is a wasteful number, since it uses less digits than its factorization.

96881614848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5375 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 96881614848 in words is "ninety-six billion, eight hundred eighty-one million, six hundred fourteen thousand, eight hundred forty-eight".