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2095331328 = 2113417743
BaseRepresentation
bin111110011100100…
…0011100000000000
312102000201212020000
41330321003200000
513242401100303
6543530120000
7102632010456
oct17471034000
95360655200
102095331328
1198583a492
124a5880000
13275144b2c
1415c3d29d6
15c3e43da3
hex7ce43800

2095331328 has 240 divisors, whose sum is σ = 6635669040. Its totient is φ = 656474112.

The previous prime is 2095331317. The next prime is 2095331347. The reversal of 2095331328 is 8231335902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2095331292 and 2095331301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2819725 + ... + 2820467.

It is an arithmetic number, because the mean of its divisors is an integer number (27648621).

Almost surely, 22095331328 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 2095331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317834520).

2095331328 is an abundant number, since it is smaller than the sum of its proper divisors (4540337712).

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

2095331328 is an equidigital number, since it uses as much as digits as its factorization.

2095331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2095331328 is about 45774.7892185207. The cubic root of 2095331328 is about 1279.6294760875.

The spelling of 2095331328 in words is "two billion, ninety-five million, three hundred thirty-one thousand, three hundred twenty-eight".