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42530804160 = 2635134317907
BaseRepresentation
bin100111100111000010…
…001001000111000000
311001210001012201010220
4213213002021013000
51144100341213120
631312142423040
73033644604405
oct474702110700
9131701181126
1042530804160
1117045591729
1282ab591a80
13401a4a8a10
1420b675a2ac
15118dc99b40
hex9e70891c0

42530804160 has 224 divisors, whose sum is σ = 145778476032. Its totient is φ = 10443509760.

The previous prime is 42530804143. The next prime is 42530804189. The reversal of 42530804160 is 6140803524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374927 + ... + 5382833.

It is an arithmetic number, because the mean of its divisors is an integer number (650796768).

Almost surely, 242530804160 is an apocalyptic number.

42530804160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42530804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72889238016).

42530804160 is an abundant number, since it is smaller than the sum of its proper divisors (103247671872).

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

42530804160 is a wasteful number, since it uses less digits than its factorization.

42530804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 42530804160 in words is "forty-two billion, five hundred thirty million, eight hundred four thousand, one hundred sixty".