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9266503680 = 2133557219
BaseRepresentation
bin10001010000101001…
…11010000000000000
3212220210120011100000
420220110322000000
5122434211104210
64131301200000
7445426660500
oct105024720000
925823504300
109266503680
113a25777405
121967400000
13b48a50895
1463c989a00
153937c0ac0
hex22853a000

9266503680 has 1008 divisors, whose sum is σ = 40789738080. Its totient is φ = 2006581248.

The previous prime is 9266503679. The next prime is 9266503703. The reversal of 9266503680 is 863056629.

It is a happy number.

9266503680 is a `hidden beast` number, since 9 + 2 + 66 + 503 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487710711 + ... + 487710729.

It is an arithmetic number, because the mean of its divisors is an integer number (40466010).

Almost surely, 29266503680 is an apocalyptic number.

9266503680 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 9266503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394869040).

9266503680 is an abundant number, since it is smaller than the sum of its proper divisors (31523234400).

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

9266503680 is an equidigital number, since it uses as much as digits as its factorization.

9266503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9266503680 is about 96262.6806192306. The cubic root of 9266503680 is about 2100.4159176196.

The spelling of 9266503680 in words is "nine billion, two hundred sixty-six million, five hundred three thousand, six hundred eighty".