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9984894048 = 253242182351
BaseRepresentation
bin10010100110010010…
…10110010001100000
3221202212100011122200
421103021112101200
5130422113102143
64330442533200
7502302125163
oct112311262140
927685304580
109984894048
114264237758
121b27b07200
13c3182b83c
146aa14dada
153d68c71d3
hex253256460

9984894048 has 72 divisors (see below), whose sum is σ = 28462333536. Its totient is φ = 3320352000.

The previous prime is 9984894047. The next prime is 9984894071. The reversal of 9984894048 is 8404984899.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984894043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80073 + ... + 162423.

It is an arithmetic number, because the mean of its divisors is an integer number (395310188).

Almost surely, 29984894048 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 9984894048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231166768).

9984894048 is an abundant number, since it is smaller than the sum of its proper divisors (18477439488).

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

9984894048 is a wasteful number, since it uses less digits than its factorization.

9984894048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82788 (or 82777 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The square root of 9984894048 is about 99924.4416947125. The cubic root of 9984894048 is about 2153.3493170947.

The spelling of 9984894048 in words is "nine billion, nine hundred eighty-four million, eight hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 30312 40416 60624 82351 121248 164702 247053 329404 494106 658808 741159 988212 1317616 1482318 1976424 2635232 2964636 3952848 5929272 7905696 11858544 23717088 34669771 69339542 104009313 138679084 208018626 277358168 312027939 416037252 554716336 624055878 832074504 1109432672 1248111756 1664149008 2496223512 3328298016 4992447024 9984894048