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766127009 is a prime number
BaseRepresentation
bin101101101010100…
…010101110100001
31222101121021200102
4231222202232201
53032112031014
6204004432145
724661654304
oct5552425641
91871537612
10766127009
1136350561a
121946a8655
13c29530bb
1473a6cb3b
15473d58de
hex2daa2ba1

766127009 has 2 divisors, whose sum is σ = 766127010. Its totient is φ = 766127008.

The previous prime is 766126993. The next prime is 766127053. The reversal of 766127009 is 900721667.

766127009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 478078225 + 288048784 = 21865^2 + 16972^2 .

It is an emirp because it is prime and its reverse (900721667) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 766127009 - 24 = 766126993 is a prime.

It is not a weakly prime, because it can be changed into another prime (766127099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383063504 + 383063505.

It is an arithmetic number, because the mean of its divisors is an integer number (383063505).

Almost surely, 2766127009 is an apocalyptic number.

It is an amenable number.

766127009 is a deficient number, since it is larger than the sum of its proper divisors (1).

766127009 is an equidigital number, since it uses as much as digits as its factorization.

766127009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 766127009 is about 27678.9994219444. Note that the first 3 decimals coincide. The cubic root of 766127009 is about 915.0263298783.

The spelling of 766127009 in words is "seven hundred sixty-six million, one hundred twenty-seven thousand, nine".