Search a number
-
+
19463794560 = 27355719941
BaseRepresentation
bin10010001000001000…
…011110111110000000
31212020110120012200000
4102020020132332000
5304330212411220
612535212400000
71256221344510
oct221010367600
955213505600
1019463794560
118288893a31
123932476000
131ab2587202
14d28dc7840
1578db50390
hex48821ef80

19463794560 has 768 divisors, whose sum is σ = 83938982400. Its totient is φ = 4210237440.

The previous prime is 19463794531. The next prime is 19463794573. The reversal of 19463794560 is 6549736491.

19463794560 is a `hidden beast` number, since 1 + 9 + 4 + 6 + 3 + 79 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19463794497 and 19463794506.

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 95 ways as a sum of consecutive naturals, for example, 20683690 + ... + 20684630.

It is an arithmetic number, because the mean of its divisors is an integer number (109295550).

Almost surely, 219463794560 is an apocalyptic number.

19463794560 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 19463794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41969491200).

19463794560 is an abundant number, since it is smaller than the sum of its proper divisors (64475187840).

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

19463794560 is an equidigital number, since it uses as much as digits as its factorization.

19463794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 19463794560 in words is "nineteen billion, four hundred sixty-three million, seven hundred ninety-four thousand, five hundred sixty".