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4223803968 = 26341923761
BaseRepresentation
bin1111101111000010…
…0010001001000000
3101220100211110210000
43323300202021000
532122243211333
61535042440000
7206445512166
oct37360421100
911810743700
104223803968
11187825548a
1299a663000
135240c16b7
142c0d71236
1519ac32713
hexfbc22240

4223803968 has 420 divisors, whose sum is σ = 13793972412. Its totient is φ = 1276508160.

The previous prime is 4223803951. The next prime is 4223803999. The reversal of 4223803968 is 8693083224.

It can be written as a sum of positive squares in 2 ways, for example, as 1798438464 + 2425365504 = 42408^2 + 49248^2 .

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 59 ways as a sum of consecutive naturals, for example, 69242658 + ... + 69242718.

Almost surely, 24223803968 is an apocalyptic number.

4223803968 is a gapful number since it is divisible by the number (48) 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 4223803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896986206).

4223803968 is an abundant number, since it is smaller than the sum of its proper divisors (9570168444).

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

4223803968 is a wasteful number, since it uses less digits than its factorization.

4223803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4223803968 is about 64990.7991026422. The cubic root of 4223803968 is about 1616.4710011586.

The spelling of 4223803968 in words is "four billion, two hundred twenty-three million, eight hundred three thousand, nine hundred sixty-eight".