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505035316061341 = 13373903732689657
BaseRepresentation
bin111001011010100111011001…
…0100111001110010010011101
32110020011220102112002120102121
41302311032302213032102131
51012143444311402430331
64550042004332022541
7211243411636326022
oct16265166247162235
92406156375076377
10505035316061341
11136a1330274498a
1248787289601a51
13188a581a2b1170
148c9dba82a3549
153d5c1da7d2c11
hex1cb53b29ce49d

505035316061341 has 16 divisors (see below), whose sum is σ = 558585397712944. Its totient is φ = 453585481357824.

The previous prime is 505035316061261. The next prime is 505035316061359. The reversal of 505035316061341 is 143160613530505.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4675234248441 + 500360081812900 = 2162229^2 + 22368730^2 .

It is a cyclic number.

It is not a de Polignac number, because 505035316061341 - 211 = 505035316059293 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 (505035316061141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186424585 + ... + 189114241.

It is an arithmetic number, because the mean of its divisors is an integer number (34911587357059).

Almost surely, 2505035316061341 is an apocalyptic number.

It is an amenable number.

505035316061341 is a deficient number, since it is larger than the sum of its proper divisors (53550081651603).

505035316061341 is a wasteful number, since it uses less digits than its factorization.

505035316061341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080080.

The product of its (nonzero) digits is 486000, while the sum is 43.

Adding to 505035316061341 its reverse (143160613530505), we get a palindrome (648195929591846).

The spelling of 505035316061341 in words is "five hundred five trillion, thirty-five billion, three hundred sixteen million, sixty-one thousand, three hundred forty-one".

Divisors: 1 13 37 481 390373 2689657 5074849 14443801 34965541 99517309 187769413 1293725017 1049969472061 13649603136793 38848870466257 505035316061341