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505353243353 = 741032120393
BaseRepresentation
bin1110101101010010110…
…01101000101011011001
31210022101221021122120212
413112221121220223121
531234430412241403
61024053413500505
751340060460000
oct7265131505331
91708357248525
10505353243353
11185356805462
1281b35941735
1338868229baa
141a660197c37
15d22aab44d8
hex75a9668ad9

505353243353 has 20 divisors (see below), whose sum is σ = 589629737268. Its totient is φ = 433096715520.

The previous prime is 505353243323. The next prime is 505353243391. The reversal of 505353243353 is 353342353505.

It can be written as a sum of positive squares in 2 ways, for example, as 278137047769 + 227216195584 = 527387^2 + 476672^2 .

It is not a de Polignac number, because 505353243353 - 216 = 505353177817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505353243353.

It is not an unprimeable number, because it can be changed into a prime (505353243323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24770525 + ... + 24790917.

Almost surely, 2505353243353 is an apocalyptic number.

It is an amenable number.

505353243353 is a deficient number, since it is larger than the sum of its proper divisors (84276493915).

505353243353 is an equidigital number, since it uses as much as digits as its factorization.

505353243353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30742 (or 30721 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 41.

Adding to 505353243353 its reverse (353342353505), we get a palindrome (858695596858).

The spelling of 505353243353 in words is "five hundred five billion, three hundred fifty-three million, two hundred forty-three thousand, three hundred fifty-three".

Divisors: 1 7 49 343 2401 10321 20393 72247 142751 505729 999257 3540103 6994799 24780721 48963593 210476153 1473333071 10313331497 72193320479 505353243353