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19328082048 = 2732111798521
BaseRepresentation
bin10010000000000010…
…110010000010000000
31211220000012022002200
4102000002302002000
5304040442111143
612513523513200
71252652662302
oct220002620200
954800168080
1019328082048
118219220130
1238b4b28800
131a9041b552
14d14d7b972
15781c941d3
hex4800b2080

19328082048 has 192 divisors, whose sum is σ = 61020928800. Its totient is φ = 5823590400.

The previous prime is 19328082047. The next prime is 19328082073. The reversal of 19328082048 is 84028082391.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 19328081994 and 19328082012.

It is not an unprimeable number, because it can be changed into a prime (19328082047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2264028 + ... + 2272548.

Almost surely, 219328082048 is an apocalyptic number.

19328082048 is a gapful number since it is divisible by the number (18) 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 19328082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30510464400).

19328082048 is an abundant number, since it is smaller than the sum of its proper divisors (41692846752).

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

19328082048 is a wasteful number, since it uses less digits than its factorization.

19328082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19328082048 in words is "nineteen billion, three hundred twenty-eight million, eighty-two thousand, forty-eight".