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9984901104 = 243531372239
BaseRepresentation
bin10010100110010010…
…10111111111110000
3221202212100112100000
421103021113333300
5130422113313404
64330443030000
7502302154563
oct112311277760
927685315300
109984901104
114264241a92
121b27b0b300
13c31831b09
146aa1524da
153d68c9339
hex253257ff0

9984901104 has 240 divisors, whose sum is σ = 30735810560. Its totient is φ = 3132483840.

The previous prime is 9984901103. The next prime is 9984901139. The reversal of 9984901104 is 4011094899.

It is a self number, because there is not a number n which added to its sum of digits gives 9984901104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984901103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4458417 + ... + 4460655.

Almost surely, 29984901104 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 9984901104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367905280).

9984901104 is an abundant number, since it is smaller than the sum of its proper divisors (20750909456).

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

9984901104 is a wasteful number, since it uses less digits than its factorization.

9984901104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9984901104 is about 99924.4770013834. The cubic root of 9984901104 is about 2153.3498243286.

The spelling of 9984901104 in words is "nine billion, nine hundred eighty-four million, nine hundred one thousand, one hundred four".