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42223337856 = 27357533659
BaseRepresentation
bin100111010100101101…
…010000000110000000
311000222121122210200000
4213110231100012000
51142433133302411
631221440400000
73023222310240
oct472455200600
9130877583600
1042223337856
11169a7a78747
128224616000
133c9b8956ab
1420879a1b20
151171cb3956
hex9d4b50180

42223337856 has 384 divisors, whose sum is σ = 146759558400. Its totient is φ = 11832956928.

The previous prime is 42223337837. The next prime is 42223337881. The reversal of 42223337856 is 65873332224.

42223337856 is a `hidden beast` number, since 4 + 2 + 223 + 3 + 378 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11537755 + ... + 11541413.

It is an arithmetic number, because the mean of its divisors is an integer number (382186350).

Almost surely, 242223337856 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 42223337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73379779200).

42223337856 is an abundant number, since it is smaller than the sum of its proper divisors (104536220544).

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

42223337856 is an equidigital number, since it uses as much as digits as its factorization.

42223337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3724 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 42223337856 in words is "forty-two billion, two hundred twenty-three million, three hundred thirty-seven thousand, eight hundred fifty-six".