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4632765809 = 72509185749
BaseRepresentation
bin1000101000010001…
…00110010101110001
3102221212100212221212
410110020212111301
533441442001214
62043412125505
7222542600600
oct42410462561
912855325855
104632765809
111a68091581
12a93606895
1358aa50159
1431d3c9a37
151c1ab653e
hex114226571

4632765809 has 12 divisors (see below), whose sum is σ = 5399752500. Its totient is φ = 3963119328.

The previous prime is 4632765799. The next prime is 4632765821. The reversal of 4632765809 is 9085672364.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3684125809 + 948640000 = 60697^2 + 30800^2 .

It is not a de Polignac number, because 4632765809 - 24 = 4632765793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4632765899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67934 + ... + 117815.

It is an arithmetic number, because the mean of its divisors is an integer number (449979375).

Almost surely, 24632765809 is an apocalyptic number.

4632765809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4632765809 is a deficient number, since it is larger than the sum of its proper divisors (766986691).

4632765809 is a wasteful number, since it uses less digits than its factorization.

4632765809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186272 (or 186265 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The square root of 4632765809 is about 68064.4239599514. The cubic root of 4632765809 is about 1667.0429232433.

The spelling of 4632765809 in words is "four billion, six hundred thirty-two million, seven hundred sixty-five thousand, eight hundred nine".

Divisors: 1 7 49 509 3563 24941 185749 1300243 9101701 94546241 661823687 4632765809