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2729002769 is a prime number
BaseRepresentation
bin1010001010101001…
…0100011100010001
321001012002201000122
42202222110130101
521042111042034
61130444000025
7124425066203
oct24252243421
97035081018
102729002769
1111804a6199
12641b30015
133464cc84c
141bc622773
1510e8b362e
hexa2a94711

2729002769 has 2 divisors, whose sum is σ = 2729002770. Its totient is φ = 2729002768.

The previous prime is 2729002751. The next prime is 2729002777. The reversal of 2729002769 is 9672009272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1412256400 + 1316746369 = 37580^2 + 36287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2729002769 is a prime.

It is a super-2 number, since 2×27290027692 = 14894912226419334722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2729002369) 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 as a sum of consecutive naturals, namely, 1364501384 + 1364501385.

It is an arithmetic number, because the mean of its divisors is an integer number (1364501385).

Almost surely, 22729002769 is an apocalyptic number.

It is an amenable number.

2729002769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2729002769 is an equidigital number, since it uses as much as digits as its factorization.

2729002769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 2729002769 is about 52239.8580491946. The cubic root of 2729002769 is about 1397.4447897049. Note that the first 3 decimals are identical.

The spelling of 2729002769 in words is "two billion, seven hundred twenty-nine million, two thousand, seven hundred sixty-nine".