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19209832992 = 253473173141
BaseRepresentation
bin10001111000111111…
…101100101000100000
31211120202200121220000
4101320333230220200
5303320204123432
612454101220000
71250015613000
oct217077545040
954522617800
1019209832992
1181684a4939
123881401600
131a71a885ac
14d0339a000
157766d757c
hex478feca20

19209832992 has 960 divisors, whose sum is σ = 73766246400. Its totient is φ = 4877107200.

The previous prime is 19209832991. The next prime is 19209833003. The reversal of 19209832992 is 29923890291.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19209832991) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 468532492 + ... + 468532532.

It is an arithmetic number, because the mean of its divisors is an integer number (76839840).

Almost surely, 219209832992 is an apocalyptic number.

19209832992 is a gapful number since it is divisible by the number (12) 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 19209832992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36883123200).

19209832992 is an abundant number, since it is smaller than the sum of its proper divisors (54556413408).

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

19209832992 is a wasteful number, since it uses less digits than its factorization.

19209832992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 19209832992 in words is "nineteen billion, two hundred nine million, eight hundred thirty-two thousand, nine hundred ninety-two".