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4466493096 = 233131719234147
BaseRepresentation
bin1000010100011100…
…10100011010101000
3102112021111100200020
410022032110122220
533121410234341
62015112240440
7215453364522
oct41216243250
912467440606
104466493096
11199224540a
12a479a0120
13562474530
143052a6a12
151b21c0566
hex10a3946a8

4466493096 has 512 divisors, whose sum is σ = 14631321600. Its totient is φ = 1119191040.

The previous prime is 4466493019. The next prime is 4466493121. The reversal of 4466493096 is 6903946644.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 95031745 + ... + 95031791.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 24466493096 is an apocalyptic number.

4466493096 is a gapful number since it is divisible by the number (46) 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 4466493096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

4466493096 is an abundant number, since it is smaller than the sum of its proper divisors (10164828504).

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

4466493096 is a wasteful number, since it uses less digits than its factorization.

4466493096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The square root of 4466493096 is about 66831.8269688926. The cubic root of 4466493096 is about 1646.8557317776.

The spelling of 4466493096 in words is "four billion, four hundred sixty-six million, four hundred ninety-three thousand, ninety-six".