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5329438009 = 72104292
BaseRepresentation
bin1001111011010100…
…01100010100111001
3111202102021111112221
410331222030110321
541403314004014
62240500204041
7246032322100
oct47552142471
914672244487
105329438009
112295368725
121048999621
1366c19591c
14387b39037
15212d2cb24
hex13da8c539

5329438009 has 9 divisors (see below), whose sum is σ = 6200144847. Its totient is φ = 4567651704.

The previous prime is 5329438007. The next prime is 5329438019. The reversal of 5329438009 is 9008349235.

The square root of 5329438009 is 73003.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5278458409 + 50979600 = 72653^2 + 7140^2 .

It is not a de Polignac number, because 5329438009 - 21 = 5329438007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5329438007) 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 8 ways as a sum of consecutive naturals, for example, 505807 + ... + 516235.

It is an arithmetic number, because the mean of its divisors is an integer number (688904983).

Almost surely, 25329438009 is an apocalyptic number.

5329438009 is the 73003-rd square number.

5329438009 is the 36502-nd centered octagonal number.

It is an amenable number.

5329438009 is a deficient number, since it is larger than the sum of its proper divisors (870706838).

5329438009 is an frugal number, since it uses more digits than its factorization.

5329438009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20872 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The cubic root of 5329438009 is about 1746.7354659682.

The spelling of 5329438009 in words is "five billion, three hundred twenty-nine million, four hundred thirty-eight thousand, nine".

Divisors: 1 7 49 10429 73003 511021 108764041 761348287 5329438009