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2065427328 = 27329312193
BaseRepresentation
bin111101100011011…
…1110101110000000
312022221110120122110
41323012332232000
513212222133303
6540541135320
7102116562006
oct17306765600
95287416573
102065427328
1196a975138
1249785a540
1326bba4763
1415844aa76
15c14d8703
hex7b1beb80

2065427328 has 192 divisors, whose sum is σ = 5894845200. Its totient is φ = 639959040.

The previous prime is 2065427321. The next prime is 2065427333. The reversal of 2065427328 is 8237245602.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065427321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10701600 + ... + 10701792.

Almost surely, 22065427328 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 2065427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947422600).

2065427328 is an abundant number, since it is smaller than the sum of its proper divisors (3829417872).

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

2065427328 is a wasteful number, since it uses less digits than its factorization.

2065427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2065427328 is about 45446.9727044607. The cubic root of 2065427328 is about 1273.5127763216.

The spelling of 2065427328 in words is "two billion, sixty-five million, four hundred twenty-seven thousand, three hundred twenty-eight".