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9982440000 = 2635541379
BaseRepresentation
bin10010100101111111…
…11111001001000000
3221202200201111100000
421102333333021000
5130421001040000
64330314200000
7502242224421
oct112277771100
927680644300
109982440000
114262910a15
121b27123000
13c3117c840
146a9ab1648
153d6590000
hex252fff240

9982440000 has 840 divisors, whose sum is σ = 40436556160. Its totient is φ = 2426112000.

The previous prime is 9982439897. The next prime is 9982440007. The reversal of 9982440000 is 442899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982440007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126359961 + ... + 126360039.

Almost surely, 29982440000 is an apocalyptic number.

9982440000 is a gapful number since it is divisible by the number (90) 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 9982440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218278080).

9982440000 is an abundant number, since it is smaller than the sum of its proper divisors (30454116160).

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

9982440000 is an equidigital number, since it uses as much as digits as its factorization.

9982440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9982440000 is about 99912.1614219210. The cubic root of 9982440000 is about 2153.1728887305.

Adding to 9982440000 its reverse (442899), we get a palindrome (9982882899).

The spelling of 9982440000 in words is "nine billion, nine hundred eighty-two million, four hundred forty thousand".