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42852417578649 = 357230910910561
BaseRepresentation
bin10011011111001010110110…
…01000001010011010011001
312121201122120122211111100000
421233211123020022122121
521104043222400004044
6231050043500203213
712011661566315610
oct1157453310123231
9177648518744300
1042852417578649
1112721676621288
124981103b39509
131abac7267a113
14a820d4b38877
154e4a52c2ad69
hex26f95b20a699

42852417578649 has 48 divisors (see below), whose sum is σ = 73392295616640. Its totient is φ = 24476488450560.

The previous prime is 42852417578611. The next prime is 42852417578657. The reversal of 42852417578649 is 94687571425824.

42852417578649 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 2 + 4 + 1 + 7 + 578 + 6 + 49 = 666.

42852417578649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42852417578649 - 224 = 42852400801433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42852417478649) 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, 1527672 + ... + 9382889.

It is an arithmetic number, because the mean of its divisors is an integer number (1529006158680).

Almost surely, 242852417578649 is an apocalyptic number.

It is an amenable number.

42852417578649 is a deficient number, since it is larger than the sum of its proper divisors (30539878037991).

42852417578649 is a wasteful number, since it uses less digits than its factorization.

42852417578649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912892 (or 10912880 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 42852417578649 in words is "forty-two trillion, eight hundred fifty-two billion, four hundred seventeen million, five hundred seventy-eight thousand, six hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 2309 6927 16163 20781 48489 62343 145467 187029 436401 561087 1309203 3927609 10910561 32731683 76373927 98195049 229121781 294585147 687365343 883755441 2062096029 2651266323 6186288087 18558864261 25192485349 75577456047 176347397443 226732368141 529042192329 680197104423 1587126576987 2040591313269 4761379730961 6121773939807 14284139192883 42852417578649