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9981048168 = 233271323107619
BaseRepresentation
bin10010100101110101…
…01011010101101000
3221202121002210002200
421102322223111220
5130420122020133
64330224300200
7502224336540
oct112272532550
927677083080
109981048168
114262050243
121b26771660
13c30ab3180
146a982c320
153d63b7913
hex252eab568

9981048168 has 384 divisors, whose sum is σ = 35097753600. Its totient is φ = 2490352128.

The previous prime is 9981048167. The next prime is 9981048173. The reversal of 9981048168 is 8618401899.

9981048168 is a `hidden beast` number, since 9 + 98 + 10 + 481 + 68 = 666.

9981048168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9981048163) 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 95 ways as a sum of consecutive naturals, for example, 16124163 + ... + 16124781.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 29981048168 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 9981048168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

9981048168 is an abundant number, since it is smaller than the sum of its proper divisors (25116705432).

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

9981048168 is a wasteful number, since it uses less digits than its factorization.

9981048168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 9981048168 is about 99905.1959009140. The cubic root of 9981048168 is about 2153.0728131905.

The spelling of 9981048168 in words is "nine billion, nine hundred eighty-one million, forty-eight thousand, one hundred sixty-eight".