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42275780568 = 233272233714081
BaseRepresentation
bin100111010111110101…
…010011011111011000
311001010021100011112200
4213113311103133120
51143040044434233
631230552410200
73024430130400
oct472765233730
9131107304480
1042275780568
1116a2463772a
12823a0a6960
133ca96c7898
142090933800
1511766c2313
hex9d7d537d8

42275780568 has 288 divisors, whose sum is σ = 142747544160. Its totient is φ = 11240570880.

The previous prime is 42275780483. The next prime is 42275780581. The reversal of 42275780568 is 86508757224.

42275780568 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 5 + 78 + 0 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2995288 + ... + 3009368.

It is an arithmetic number, because the mean of its divisors is an integer number (495651195).

Almost surely, 242275780568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42275780568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71373772080).

42275780568 is an abundant number, since it is smaller than the sum of its proper divisors (100471763592).

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

42275780568 is a wasteful number, since it uses less digits than its factorization.

42275780568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14167 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 42275780568 in words is "forty-two billion, two hundred seventy-five million, seven hundred eighty thousand, five hundred sixty-eight".