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9899316000 = 2532537163241
BaseRepresentation
bin10010011100000101…
…11001001100100000
3221112220022100122100
421032002321030200
5130233211103000
64314144410400
7500212540410
oct111602711440
927486270570
109899316000
11421a9a66a2
121b03316a00
13c19b97542
1469ca34640
153ce120a00
hex24e0b9320

9899316000 has 576 divisors, whose sum is σ = 40565581056. Its totient is φ = 2239488000.

The previous prime is 9899315983. The next prime is 9899316041. The reversal of 9899316000 is 6139989.

9899316000 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 31 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41075880 + ... + 41076120.

It is an arithmetic number, because the mean of its divisors is an integer number (70426356).

Almost surely, 29899316000 is an apocalyptic number.

9899316000 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 9899316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20282790528).

9899316000 is an abundant number, since it is smaller than the sum of its proper divisors (30666265056).

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

9899316000 is a wasteful number, since it uses less digits than its factorization.

9899316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9899316000 is about 99495.3064219614. The cubic root of 9899316000 is about 2147.1797165416.

The spelling of 9899316000 in words is "nine billion, eight hundred ninety-nine million, three hundred sixteen thousand".