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42385085085 = 357727555251
BaseRepresentation
bin100111011110010110…
…010001001010011101
311001101220000102011010
4213132112101022131
51143301040210320
631245455245433
73030225164430
oct473626211235
9131356012133
1042385085085
1116a80303842
12826a819879
133cc6248505
1420a1267817
1511810b3ae0
hex9de59129d

42385085085 has 32 divisors (see below), whose sum is σ = 77610903552. Its totient is φ = 19349352000.

The previous prime is 42385085047. The next prime is 42385085089. The reversal of 42385085085 is 58058058324.

It is not a de Polignac number, because 42385085085 - 212 = 42385080989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42385085089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201291 + ... + 353960.

It is an arithmetic number, because the mean of its divisors is an integer number (2425340736).

Almost surely, 242385085085 is an apocalyptic number.

It is an amenable number.

42385085085 is a deficient number, since it is larger than the sum of its proper divisors (35225818467).

42385085085 is a wasteful number, since it uses less digits than its factorization.

42385085085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555993.

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 42385085085 in words is "forty-two billion, three hundred eighty-five million, eighty-five thousand, eighty-five".

Divisors: 1 3 5 7 15 21 35 105 727 2181 3635 5089 10905 15267 25445 76335 555251 1665753 2776255 3886757 8328765 11660271 19433785 58301355 403667477 1211002431 2018337385 2825672339 6055012155 8477017017 14128361695 42385085085