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355444444553 = 1129901296693
BaseRepresentation
bin1010010110000100010…
…00111100110110001001
31020222110112102122020112
411023002020330312021
521310422234211203
6431142224004105
734452146633312
oct5130210746611
91228415378215
10355444444553
1112781a139100
1258a79760635
1327697830353
14132bc987609
1593a4eec6d8
hex52c223cd89

355444444553 has 12 divisors (see below), whose sum is σ = 390735910404. Its totient is φ = 323097588000.

The previous prime is 355444444519. The next prime is 355444444561.

355444444553 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 162733980409 + 192710464144 = 403403^2 + 438988^2 .

It is not a de Polignac number, because 355444444553 - 26 = 355444444489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355444444583) 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 11 ways as a sum of consecutive naturals, for example, 1049675 + ... + 1346367.

It is an arithmetic number, because the mean of its divisors is an integer number (32561325867).

Almost surely, 2355444444553 is an apocalyptic number.

It is an amenable number.

355444444553 is a deficient number, since it is larger than the sum of its proper divisors (35291465851).

355444444553 is a wasteful number, since it uses less digits than its factorization.

355444444553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306616 (or 306605 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

It can be divided in two parts, 355444 and 444553, that added together give a palindrome (799997).

The spelling of 355444444553 in words is "three hundred fifty-five billion, four hundred forty-four million, four hundred forty-four thousand, five hundred fifty-three".

Divisors: 1 11 121 9901 108911 296693 1198021 3263623 35899853 2937557393 32313131323 355444444553