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9130272768 = 211321929231
BaseRepresentation
bin10001000000011010…
…01110100000000000
3212120022012220122200
420200031032200000
5122144322212033
64105553233200
7442154016021
oct104015164000
925508186580
109130272768
11396588a081
121929862800
13b26762c86
14628846c48
15386861013
hex22034e800

9130272768 has 432 divisors, whose sum is σ = 29675318400. Its totient is φ = 2694021120.

The previous prime is 9130272751. The next prime is 9130272769. The reversal of 9130272768 is 8672720319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130272769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294524913 + ... + 294524943.

Almost surely, 29130272768 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 9130272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837659200).

9130272768 is an abundant number, since it is smaller than the sum of its proper divisors (20545045632).

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

9130272768 is a wasteful number, since it uses less digits than its factorization.

9130272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9130272768 is about 95552.4608160355. The cubic root of 9130272768 is about 2090.0720172371.

The spelling of 9130272768 in words is "nine billion, one hundred thirty million, two hundred seventy-two thousand, seven hundred sixty-eight".