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427213323312724 = 221313613603514349
BaseRepresentation
bin110000100100011000101101…
…0011000010001111001010100
32002000122012021001010200211001
41201020301122120101321110
5421443430341232001344
64112335031421353044
7155662100260323004
oct14110613230217124
92060565231120731
10427213323312724
1111413a175644223
123bab8979708784
131544c07481bc70
14776d34146a004
15345cbeb650ed4
hex1848c5a611e54

427213323312724 has 24 divisors (see below), whose sum is σ = 805191947368200. Its totient is φ = 197160895319424.

The previous prime is 427213323312683. The next prime is 427213323312761.

It is a happy number.

427213323312724 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 113250716692624 + 313962606620100 = 10641932^2 + 17718990^2 .

It is a super-2 number, since 2×4272133233127242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301049299 + ... + 302465050.

It is an arithmetic number, because the mean of its divisors is an integer number (33549664473675).

Almost surely, 2427213323312724 is an apocalyptic number.

It is an amenable number.

427213323312724 is a deficient number, since it is larger than the sum of its proper divisors (377978624055476).

427213323312724 is a wasteful number, since it uses less digits than its factorization.

427213323312724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603527979 (or 603527977 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 46.

The spelling of 427213323312724 in words is "four hundred twenty-seven trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred twelve thousand, seven hundred twenty-four".

Divisors: 1 2 4 13 26 52 13613 27226 54452 176969 353938 707876 603514349 1207028698 2414057396 7845686537 15691373074 31382746148 8215640832937 16431281665874 32862563331748 106803330828181 213606661656362 427213323312724