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42432088649 = 891816134297
BaseRepresentation
bin100111100001001001…
…100100101001001001
311001112011110102220212
4213201021210221021
51143400103314044
631254254530505
73031335542156
oct474111445111
9131464412825
1042432088649
1116aa4898265
128282506a35
134002bc4a82
1420a75c122d
15118529aa9e
hex9e1264a49

42432088649 has 16 divisors (see below), whose sum is σ = 43226361360. Its totient is φ = 41645767680.

The previous prime is 42432088639. The next prime is 42432088651. The reversal of 42432088649 is 94688023424.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24046084624 + 18386004025 = 155068^2 + 135595^2 .

It is a cyclic number.

It is not a de Polignac number, because 42432088649 - 28 = 42432088393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42432088597 and 42432088606.

It is not an unprimeable number, because it can be changed into a prime (42432088639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9872669 + ... + 9876965.

It is an arithmetic number, because the mean of its divisors is an integer number (2701647585).

Almost surely, 242432088649 is an apocalyptic number.

It is an amenable number.

42432088649 is a deficient number, since it is larger than the sum of its proper divisors (794272711).

42432088649 is a wasteful number, since it uses less digits than its factorization.

42432088649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180.

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 42432088649 in words is "forty-two billion, four hundred thirty-two million, eighty-eight thousand, six hundred forty-nine".

Divisors: 1 89 181 613 4297 16109 54557 110953 382433 777757 2634061 9874817 69220373 234431429 476765041 42432088649