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9880320000 = 2113543183
BaseRepresentation
bin10010011001110100…
…11011100000000000
3221111120120021000210
421030322123200000
5130213330220000
64312225314120
7466562222445
oct111472334000
927446507023
109880320000
114210201721
121ab8a95940
13c15c760c5
1469a2cb9cc
153cc61c350
hex24ce9b800

9880320000 has 480 divisors, whose sum is σ = 34386992640. Its totient is φ = 2519040000.

The previous prime is 9880319987. The next prime is 9880320001. The reversal of 9880320000 is 230889.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 9880320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9880320001) 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 39 ways as a sum of consecutive naturals, for example, 119039959 + ... + 119040041.

It is an arithmetic number, because the mean of its divisors is an integer number (71639568).

Almost surely, 29880320000 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 9880320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193496320).

9880320000 is an abundant number, since it is smaller than the sum of its proper divisors (24506672640).

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

9880320000 is an equidigital number, since it uses as much as digits as its factorization.

9880320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9880320000 is about 99399.7987925529. The cubic root of 9880320000 is about 2145.8054147455.

Adding to 9880320000 its reverse (230889), we get a palindrome (9880550889).

The spelling of 9880320000 in words is "nine billion, eight hundred eighty million, three hundred twenty thousand".