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9988888800 = 253521135359
BaseRepresentation
bin10010100110110001…
…00101100011100000
3221210010212010102110
421103120211203200
5130424123420200
64331104315320
7502351103532
oct112330454340
927703763373
109988888800
114266516000
121b29312b40
13c325c9bb7
146aa8ad852
153d6e15b50
hex2536258e0

9988888800 has 576 divisors, whose sum is σ = 37055128320. Its totient is φ = 2335590400.

The previous prime is 9988888771. The next prime is 9988888801. The reversal of 9988888800 is 88888899.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9988888801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169303171 + ... + 169303229.

It is an arithmetic number, because the mean of its divisors is an integer number (64331820).

Almost surely, 29988888800 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 9988888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527564160).

9988888800 is an abundant number, since it is smaller than the sum of its proper divisors (27066239520).

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

9988888800 is a wasteful number, since it uses less digits than its factorization.

9988888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 66.

The square root of 9988888800 is about 99944.4285590748. The cubic root of 9988888800 is about 2153.6364491541.

The spelling of 9988888800 in words is "nine billion, nine hundred eighty-eight million, eight hundred eighty-eight thousand, eight hundred".