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5741343466326 = 23213311338159149
BaseRepresentation
bin101001110001100001010…
…1111001110001101010110
3202022212102002122012222200
41103203002233032031112
51223031232411410301
620113311535505330
71131540562152666
oct123430257161526
922285362565880
105741343466326
11191398778a346
12788864388246
13328538a29c40
1415bc4d8521a6
159e52b1d9c86
hex538c2bce356

5741343466326 has 96 divisors (see below), whose sum is σ = 13829879481600. Its totient is φ = 1709424518400.

The previous prime is 5741343466307. The next prime is 5741343466351. The reversal of 5741343466326 is 6236643431475.

It is a happy number.

5741343466326 is a `hidden beast` number, since 574 + 1 + 3 + 4 + 3 + 4 + 6 + 63 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97036200 + ... + 97095348.

It is an arithmetic number, because the mean of its divisors is an integer number (144061244600).

Almost surely, 25741343466326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5741343466326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914939740800).

5741343466326 is an abundant number, since it is smaller than the sum of its proper divisors (8088536015274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5741343466326 is a wasteful number, since it uses less digits than its factorization.

5741343466326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72582 (or 72579 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 5741343466326 in words is "five trillion, seven hundred forty-one billion, three hundred forty-three million, four hundred sixty-six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 13381 26762 40143 59149 80286 118298 120429 173953 177447 240858 347906 354894 414811 521859 532341 768937 829622 1043718 1064682 1244433 1537874 1565577 1833619 2306811 2488866 3131154 3667238 3733299 4613622 5392543 5500857 6920433 7466598 10785086 11001714 13840866 16177629 16502571 23837047 32355258 33005142 47674094 48532887 71511141 97065774 143022282 214533423 429066846 791472769 1582945538 2374418307 4748836614 7123254921 10289145997 14246509842 20578291994 24535655839 30867437991 49071311678 61734875982 73606967517 92602313973 147213935034 185204627946 220820902551 318963525907 441641805102 637927051814 956890577721 1913781155442 2870671733163 5741343466326