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9301000192 = 217116451
BaseRepresentation
bin10001010100110001…
…00000000000000000
3220000012110202122121
420222120200000000
5123022024001232
64134532414024
7446326124431
oct105230400000
926005422577
109301000192
113a43199120
121976a77314
13b52c3b413
146433a9488
15396836d97
hex22a620000

9301000192 has 72 divisors (see below), whose sum is σ = 20296159632. Its totient is φ = 4227072000.

The previous prime is 9301000139. The next prime is 9301000207. The reversal of 9301000192 is 2910001039.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1438567 + ... + 1445017.

It is an arithmetic number, because the mean of its divisors is an integer number (281891106).

Almost surely, 29301000192 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 9301000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148079816).

9301000192 is an abundant number, since it is smaller than the sum of its proper divisors (10995159440).

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

9301000192 is an frugal number, since it uses more digits than its factorization.

9301000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9301000192 is about 96441.6932244556. The cubic root of 9301000192 is about 2103.0191035576.

The spelling of 9301000192 in words is "nine billion, three hundred one million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 6451 8192 11264 12902 16384 22528 25804 32768 45056 51608 65536 70961 90112 103216 131072 141922 180224 206432 283844 360448 412864 567688 720896 825728 1135376 1441792 1651456 2270752 3302912 4541504 6605824 9083008 13211648 18166016 26423296 36332032 52846592 72664064 105693184 145328128 211386368 290656256 422772736 581312512 845545472 1162625024 2325250048 4650500096 9301000192