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52353133461 = 343717468513
BaseRepresentation
bin110000110000011111…
…010110101110010101
312000010120122201220000
4300300133112232111
51324204400232321
640014541201513
73532234202106
oct606037265625
9160116581800
1052353133461
1120225a85052
12a190b60299
134c244295a5
1427690703ad
15156625e826
hexc307d6b95

52353133461 has 20 divisors (see below), whose sum is σ = 80320227372. Its totient is φ = 33958787328.

The previous prime is 52353133457. The next prime is 52353133499. The reversal of 52353133461 is 16433135325.

52353133461 is a `hidden beast` number, since 5 + 235 + 31 + 334 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39830180625 + 12522952836 = 199575^2 + 111906^2 .

It is not a de Polignac number, because 52353133461 - 22 = 52353133457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52353133421) 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 19 ways as a sum of consecutive naturals, for example, 8731260 + ... + 8737253.

Almost surely, 252353133461 is an apocalyptic number.

It is an amenable number.

52353133461 is a deficient number, since it is larger than the sum of its proper divisors (27967093911).

52353133461 is a wasteful number, since it uses less digits than its factorization.

52353133461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17468562 (or 17468553 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 52353133461 its reverse (16433135325), we get a palindrome (68786268786).

The spelling of 52353133461 in words is "fifty-two billion, three hundred fifty-three million, one hundred thirty-three thousand, four hundred sixty-one".

Divisors: 1 3 9 27 37 81 111 333 999 2997 17468513 52405539 157216617 471649851 646334981 1414949553 1939004943 5817014829 17451044487 52353133461