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9009013248 = 293219432393
BaseRepresentation
bin10000110001111101…
…01010001000000000
3212020212001021212100
420120332222020000
5121422301410443
64045542230400
7436152230514
oct103076521000
925225037770
109009013248
113903397aa4
1218b5125400
13b075b7991
146166c0144
1537adac3d3
hex218faa200

9009013248 has 240 divisors, whose sum is σ = 28017269280. Its totient is φ = 2777628672.

The previous prime is 9009013243. The next prime is 9009013259. The reversal of 9009013248 is 8423109009.

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

It is not an unprimeable number, because it can be changed into a prime (9009013243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3763540 + ... + 3765932.

It is an arithmetic number, because the mean of its divisors is an integer number (116738622).

Almost surely, 29009013248 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 9009013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008634640).

9009013248 is an abundant number, since it is smaller than the sum of its proper divisors (19008256032).

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

9009013248 is a wasteful number, since it uses less digits than its factorization.

9009013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9009013248 is about 94915.8219055179. The cubic root of 9009013248 is about 2080.7779732816. Note that the first 3 decimals are identical.

The spelling of 9009013248 in words is "nine billion, nine million, thirteen thousand, two hundred forty-eight".