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349144760065 = 5292407894897
BaseRepresentation
bin1010001010010101010…
…01100011111100000001
31020101012111110111201211
411011022221203330001
521210022024310230
6424221143530121
734140063331243
oct5051251437401
91211174414654
10349144760065
11125087129992
12577bba59941
1326c026472aa
1412c82048093
159136e1942a
hex514aa63f01

349144760065 has 8 divisors (see below), whose sum is σ = 433421081640. Its totient is φ = 269684228352.

The previous prime is 349144760047. The next prime is 349144760077. The reversal of 349144760065 is 560067441943.

It can be written as a sum of positive squares in 4 ways, for example, as 27188382321 + 321956377744 = 164889^2 + 567412^2 .

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 349144760065 - 25 = 349144760033 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1203947304 + ... + 1203947593.

It is an arithmetic number, because the mean of its divisors is an integer number (54177635205).

Almost surely, 2349144760065 is an apocalyptic number.

It is an amenable number.

349144760065 is a deficient number, since it is larger than the sum of its proper divisors (84276321575).

349144760065 is a wasteful number, since it uses less digits than its factorization.

349144760065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407894931.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 349144760065 in words is "three hundred forty-nine billion, one hundred forty-four million, seven hundred sixty thousand, sixty-five".

Divisors: 1 5 29 145 2407894897 12039474485 69828952013 349144760065