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6424138894905 = 3252322327833621
BaseRepresentation
bin101110101111011110010…
…0001000100111000111001
3211202010211021200211120200
41131132330201010320321
51320223114024114110
621355113023312413
71232062102431114
oct135367441047071
924663737624520
106424138894905
112057509a24876
1287905b14b709
13377a419a87b4
14182d03c2557b
15b218eb5b6c0
hex5d7bc844e39

6424138894905 has 48 divisors (see below), whose sum is σ = 11671417046016. Its totient is φ = 3262545601920.

The previous prime is 6424138894889. The next prime is 6424138894907. The reversal of 6424138894905 is 5094988314246.

6424138894905 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 138 + 8 + 9 + 490 + 5 = 666.

6424138894905 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6424138894905 - 24 = 6424138894889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6424138894907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13686006 + ... + 14147615.

It is an arithmetic number, because the mean of its divisors is an integer number (243154521792).

Almost surely, 26424138894905 is an apocalyptic number.

It is an amenable number.

6424138894905 is a deficient number, since it is larger than the sum of its proper divisors (5247278151111).

6424138894905 is a wasteful number, since it uses less digits than its factorization.

6424138894905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27833878 (or 27833875 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 6424138894905 in words is "six trillion, four hundred twenty-four billion, one hundred thirty-eight million, eight hundred ninety-four thousand, nine hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 223 345 669 1035 1115 2007 3345 5129 10035 15387 25645 46161 76935 230805 27833621 83500863 139168105 250502589 417504315 640173283 1252512945 1920519849 3200866415 5761559547 6206897483 9602599245 18620692449 28807797735 31034487415 55862077347 93103462245 142758642109 279310386735 428275926327 713793210545 1284827778981 2141379631635 6424138894905