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42852352842 = 23213214086901
BaseRepresentation
bin100111111010001100…
…110000001101001010
311002121110021002000100
4213322030300031022
51200230200242332
631404110350230
73044630663205
oct477214601512
9132543232010
1042852352842
11171a0043a42
12837b1bb376
13406bcacb00
14210733c93c
1511ac11367c
hex9fa33034a

42852352842 has 36 divisors (see below), whose sum is σ = 100538219574. Its totient is φ = 13185338400.

The previous prime is 42852352841. The next prime is 42852352847. The reversal of 42852352842 is 24825325824.

42852352842 is a `hidden beast` number, since 4 + 2 + 85 + 2 + 3 + 528 + 42 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 35559022041 + 7293330801 = 188571^2 + 85401^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42852352841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7040409 + ... + 7046492.

Almost surely, 242852352842 is an apocalyptic number.

42852352842 is an abundant number, since it is smaller than the sum of its proper divisors (57685866732).

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

42852352842 is a wasteful number, since it uses less digits than its factorization.

42852352842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086935 (or 14086919 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 42852352842 in words is "forty-two billion, eight hundred fifty-two million, three hundred fifty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 14086901 28173802 42260703 84521406 126782109 183129713 253564218 366259426 549389139 1098778278 1648167417 2380686269 3296334834 4761372538 7142058807 14284117614 21426176421 42852352842