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42606422320 = 245711193111743
BaseRepresentation
bin100111101011100010…
…100110100100110000
311001222022111111202111
4213223202212210300
51144224221003240
631323443255104
73035553420460
oct475342464460
9131868444674
1042606422320
111708423a780
12831097a494
1340300637a7
1420c2801ba0
1511957351ea
hex9eb8a6930

42606422320 has 320 divisors, whose sum is σ = 134208552960. Its totient is φ = 12174105600.

The previous prime is 42606422297. The next prime is 42606422347. The reversal of 42606422320 is 2322460624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3622369 + ... + 3634111.

It is an arithmetic number, because the mean of its divisors is an integer number (419401728).

Almost surely, 242606422320 is an apocalyptic number.

42606422320 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 42606422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67104276480).

42606422320 is an abundant number, since it is smaller than the sum of its proper divisors (91602130640).

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

42606422320 is a wasteful number, since it uses less digits than its factorization.

42606422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 42606422320 its reverse (2322460624), we get a palindrome (44928882944).

The spelling of 42606422320 in words is "forty-two billion, six hundred six million, four hundred twenty-two thousand, three hundred twenty".