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42479530080 = 25351318793623
BaseRepresentation
bin100111100011111110…
…100011000001100000
311001122110201201022220
4213203332203001200
51143444224430310
631303111431040
73032453022321
oct474376430140
9131573651286
1042479530080
1117019650759
128296385480
13400c995720
1420ada10448
15118951c670
hex9e3fa3060

42479530080 has 192 divisors, whose sum is σ = 144220124160. Its totient is φ = 10448050176.

The previous prime is 42479530069. The next prime is 42479530081. The reversal of 42479530080 is 8003597424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42479530081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11723149 + ... + 11726771.

It is an arithmetic number, because the mean of its divisors is an integer number (751146480).

Almost surely, 242479530080 is an apocalyptic number.

42479530080 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 42479530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72110062080).

42479530080 is an abundant number, since it is smaller than the sum of its proper divisors (101740594080).

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

42479530080 is a wasteful number, since it uses less digits than its factorization.

42479530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 42479530080 in words is "forty-two billion, four hundred seventy-nine million, five hundred thirty thousand, eighty".