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42875550432 = 253211213314371
BaseRepresentation
bin100111111011100101…
…001111101011100000
311002200001220122010100
4213323211033223200
51200302120103212
631410255502400
73045332110521
oct477345175340
9132601818110
1042875550432
1117202148700
128386b27a00
134073a427b0
14210a45a848
1511ae196bdc
hex9fb94fae0

42875550432 has 864 divisors, whose sum is σ = 154596169728. Its totient is φ = 11176704000.

The previous prime is 42875550427. The next prime is 42875550433. The reversal of 42875550432 is 23405557824.

42875550432 is a `hidden beast` number, since 4 + 28 + 75 + 550 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42875550433) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 603880957 + ... + 603881027.

It is an arithmetic number, because the mean of its divisors is an integer number (178930752).

Almost surely, 242875550432 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 42875550432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77298084864).

42875550432 is an abundant number, since it is smaller than the sum of its proper divisors (111720619296).

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

42875550432 is a wasteful number, since it uses less digits than its factorization.

42875550432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 42875550432 in words is "forty-two billion, eight hundred seventy-five million, five hundred fifty thousand, four hundred thirty-two".