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42688581825 = 3523259174649
BaseRepresentation
bin100111110000011100…
…000001000011000001
311002012001002122102010
4213300130001003001
51144411234104300
631335540243133
73040601646531
oct476034010301
9132161078363
1042688581825
111711665639a
1283343a04a9
13404409ba96
1420cd6ab4c1
15119ca63a50
hex9f07010c1

42688581825 has 24 divisors (see below), whose sum is σ = 70600516000. Its totient is φ = 22760127360.

The previous prime is 42688581823. The next prime is 42688581857. The reversal of 42688581825 is 52818588624.

It is a happy number.

It is not a de Polignac number, because 42688581825 - 21 = 42688581823 is a prime.

It is a super-3 number, since 3×426885818253 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42688581821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157101 + ... + 331749.

Almost surely, 242688581825 is an apocalyptic number.

It is an amenable number.

42688581825 is a deficient number, since it is larger than the sum of its proper divisors (27911934175).

42688581825 is a wasteful number, since it uses less digits than its factorization.

42688581825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177921 (or 177916 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 57.

The spelling of 42688581825 in words is "forty-two billion, six hundred eighty-eight million, five hundred eighty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 3259 9777 16295 48885 81475 174649 244425 523947 873245 2619735 4366225 13098675 569181091 1707543273 2845905455 8537716365 14229527275 42688581825