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66103349 = 1337532593
BaseRepresentation
bin1111110000101…
…0100000110101
311121101101202012
43330022200311
5113410301344
610320454005
71431604064
oct374124065
9147341665
1066103349
113434a474
121a17a305
1310906010
148aca1db
155c0b29e
hex3f0a835

66103349 has 16 divisors (see below), whose sum is σ = 74520432. Its totient is φ = 58226688.

The previous prime is 66103333. The next prime is 66103351. The reversal of 66103349 is 94330166.

It is a happy number.

66103349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2582449 + 63520900 = 1607^2 + 7970^2 .

It is not a de Polignac number, because 66103349 - 24 = 66103333 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66103379) 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 in 15 ways as a sum of consecutive naturals, for example, 24197 + ... + 26789.

It is an arithmetic number, because the mean of its divisors is an integer number (4657527).

Almost surely, 266103349 is an apocalyptic number.

It is an amenable number.

66103349 is a deficient number, since it is larger than the sum of its proper divisors (8417083).

66103349 is a wasteful number, since it uses less digits than its factorization.

66103349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696.

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 66103349 is about 8130.3966077923. The cubic root of 66103349 is about 404.3348304974.

The spelling of 66103349 in words is "sixty-six million, one hundred three thousand, three hundred forty-nine".

Divisors: 1 13 37 53 481 689 1961 2593 25493 33709 95941 137429 1247233 1786577 5084873 66103349