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19328004000 = 2533532331251
BaseRepresentation
bin10010000000000010…
…011110111110100000
31211220000001100001000
4102000002132332200
5304040432112000
612513522112000
71252652215614
oct220002367640
954800040030
1019328004000
118219177528
1238b4aab600
131a903c1b76
14d14d5b344
15781c7b000
hex48009efa0

19328004000 has 768 divisors, whose sum is σ = 76082872320. Its totient is φ = 4752000000.

The previous prime is 19328003999. The next prime is 19328004001. The reversal of 19328004000 is 40082391.

It is an interprime number because it is at equal distance from previous prime (19328003999) and next prime (19328004001).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19328004001) by changing a digit.

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, 77003875 + ... + 77004125.

It is an arithmetic number, because the mean of its divisors is an integer number (99066240).

Almost surely, 219328004000 is an apocalyptic number.

19328004000 is a gapful number since it is divisible by the number (10) 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 19328004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041436160).

19328004000 is an abundant number, since it is smaller than the sum of its proper divisors (56754868320).

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

19328004000 is a wasteful number, since it uses less digits than its factorization.

19328004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 19328004000 its reverse (40082391), we get a palindrome (19368086391).

The spelling of 19328004000 in words is "nineteen billion, three hundred twenty-eight million, four thousand".