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2729002729 = 10127299901
BaseRepresentation
bin1010001010101001…
…0100011011101001
321001012002200222011
42202222110123221
521042111041404
61130443555521
7124425066115
oct24252243351
97035080864
102729002729
1111804a6162
12641b2bba1
133464cc81b
141bc622745
1510e8b3604
hexa2a946e9

2729002729 has 8 divisors (see below), whose sum is σ = 2757310920. Its totient is φ = 2700720000.

The previous prime is 2729002721. The next prime is 2729002751. The reversal of 2729002729 is 9272009272.

It can be written as a sum of positive squares in 4 ways, for example, as 2496501225 + 232501504 = 49965^2 + 15248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2729002729 - 23 = 2729002721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2729002691 and 2729002700.

It is not an unprimeable number, because it can be changed into a prime (2729002721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270679 + ... + 280579.

It is an arithmetic number, because the mean of its divisors is an integer number (344663865).

Almost surely, 22729002729 is an apocalyptic number.

It is an amenable number.

2729002729 is a deficient number, since it is larger than the sum of its proper divisors (28308191).

2729002729 is a wasteful number, since it uses less digits than its factorization.

2729002729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12731.

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 2729002729 is about 52239.8576663451. The cubic root of 2729002729 is about 1397.4447828773. Note that the first 3 decimals are identical.

It can be divided in two parts, 272900 and 2729, that multiplied together give a square (744744100 = 272902).

The spelling of 2729002729 in words is "two billion, seven hundred twenty-nine million, two thousand, seven hundred twenty-nine".

Divisors: 1 101 2729 9901 275629 1000001 27019829 2729002729