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506064213 = 3318743119
BaseRepresentation
bin11110001010011…
…110110101010101
31022021020201121000
4132022132311111
52014023023323
6122114413513
715353321604
oct3612366525
91267221530
10506064213
1123a729596
12121591299
1380ac93a5
144b2d3a3b
152e664e43
hex1e29ed55

506064213 has 8 divisors (see below), whose sum is σ = 749724800. Its totient is φ = 337376124.

The previous prime is 506064203. The next prime is 506064257. The reversal of 506064213 is 312460605.

506064213 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 642 + 13 = 666.

It is not a de Polignac number, because 506064213 - 26 = 506064149 is a prime.

It is a super-2 number, since 2×5060642132 = 512201975358618738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 18743119 = 506064213 / (5 + 0 + 6 + 0 + 6 + 4 + 2 + 1 + 3).

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 (506064203) by changing a digit.

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, 9371533 + ... + 9371586.

It is an arithmetic number, because the mean of its divisors is an integer number (93715600).

Almost surely, 2506064213 is an apocalyptic number.

It is an amenable number.

506064213 is a deficient number, since it is larger than the sum of its proper divisors (243660587).

506064213 is a wasteful number, since it uses less digits than its factorization.

506064213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18743128 (or 18743122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506064213 is about 22495.8710211452. The cubic root of 506064213 is about 796.8964195765.

The spelling of 506064213 in words is "five hundred six million, sixty-four thousand, two hundred thirteen".

Divisors: 1 3 9 27 18743119 56229357 168688071 506064213