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427728311741 = 292508594901
BaseRepresentation
bin1100011100101101001…
…10000001010110111101
31111220001010021112220202
412032112212001112331
524001441421433431
6524255022053245
742621335443013
oct6162646012675
91456033245822
10427728311741
11155442532415
126aa9141a225
13314471919b3
14169b8a2c8b3
15b1d5d948cb
hex63969815bd

427728311741 has 6 divisors (see below), whose sum is σ = 442986159642. Its totient is φ = 412979058800.

The previous prime is 427728311723. The next prime is 427728311797. The reversal of 427728311741 is 147113827724.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31767715225 + 395960596516 = 178235^2 + 629254^2 .

It is not a de Polignac number, because 427728311741 - 210 = 427728310717 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 (427728311701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254296610 + ... + 254298291.

It is an arithmetic number, because the mean of its divisors is an integer number (73831026607).

Almost surely, 2427728311741 is an apocalyptic number.

It is an amenable number.

427728311741 is a deficient number, since it is larger than the sum of its proper divisors (15257847901).

427728311741 is an equidigital number, since it uses as much as digits as its factorization.

427728311741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508594959 (or 508594930 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The spelling of 427728311741 in words is "four hundred twenty-seven billion, seven hundred twenty-eight million, three hundred eleven thousand, seven hundred forty-one".

Divisors: 1 29 841 508594901 14749252129 427728311741