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42226409376 = 25369718661
BaseRepresentation
bin100111010100111000…
…111101111110100000
311000222211102212000000
4213110320331332200
51142434430100001
631222030300000
73023260362144
oct472470757640
9130884385000
1042226409376
11169a9786398
128225657600
133c9c3cc768
142088161224
1511721bda86
hex9d4e3dfa0

42226409376 has 168 divisors, whose sum is σ = 125934572484. Its totient is φ = 13929615360.

The previous prime is 42226409363. The next prime is 42226409383. The reversal of 42226409376 is 67390462224.

It can be written as a sum of positive squares in 2 ways, for example, as 39275312400 + 2951096976 = 198180^2 + 54324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2253486 + ... + 2272146.

Almost surely, 242226409376 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 42226409376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62967286242).

42226409376 is an abundant number, since it is smaller than the sum of its proper divisors (83708163108).

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

42226409376 is an equidigital number, since it uses as much as digits as its factorization.

42226409376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18786 (or 18763 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 42226409376 in words is "forty-two billion, two hundred twenty-six million, four hundred nine thousand, three hundred seventy-six".