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13353060461 = 135339748817
BaseRepresentation
bin11000110111110011…
…11000100001101101
31021110121010202100212
430123321320201231
5204321340413321
610045002232205
7651621066266
oct143371704155
937417122325
1013353060461
1157324aaa64
122707ab5665
13134a589c10
149095d196d
1553244255b
hex31be7886d

13353060461 has 16 divisors (see below), whose sum is σ = 14688750384. Its totient is φ = 12062628864.

The previous prime is 13353060433. The next prime is 13353060463. The reversal of 13353060461 is 16406035331.

It can be written as a sum of positive squares in 8 ways, for example, as 34515625 + 13318544836 = 5875^2 + 115406^2 .

It is not a de Polignac number, because 13353060461 - 226 = 13285951597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13353060463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249125 + ... + 297941.

It is an arithmetic number, because the mean of its divisors is an integer number (918046899).

Almost surely, 213353060461 is an apocalyptic number.

It is an amenable number.

13353060461 is a deficient number, since it is larger than the sum of its proper divisors (1335689923).

13353060461 is a wasteful number, since it uses less digits than its factorization.

13353060461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49280.

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 13353060461 its reverse (16406035331), we get a palindrome (29759095792).

The spelling of 13353060461 in words is "thirteen billion, three hundred fifty-three million, sixty thousand, four hundred sixty-one".

Divisors: 1 13 53 397 689 5161 21041 48817 273533 634621 2587301 19380349 33634913 251944537 1027158497 13353060461