Search a number
-
+
19353430530 = 23257217376977
BaseRepresentation
bin10010000001100011…
…011110101000000010
31211221202220010200100
4102001203132220002
5304113434234110
612520231103230
71253411305500
oct220143365002
954852803610
1019353430530
118231563895
123901511b16
131a95755255
14d18499670
157840eebc0
hex4818dea02

19353430530 has 288 divisors, whose sum is σ = 63661633776. Its totient is φ = 4050321408.

The previous prime is 19353430529. The next prime is 19353430543. The reversal of 19353430530 is 3503435391.

19353430530 is a `hidden beast` number, since 1 + 93 + 5 + 3 + 4 + 30 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12392365041 + 6961065489 = 111321^2 + 83433^2 .

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 143 ways as a sum of consecutive naturals, for example, 2770402 + ... + 2777378.

Almost surely, 219353430530 is an apocalyptic number.

19353430530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19353430530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31830816888).

19353430530 is an abundant number, since it is smaller than the sum of its proper divisors (44308203246).

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

19353430530 is a wasteful number, since it uses less digits than its factorization.

19353430530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 19353430530 in words is "nineteen billion, three hundred fifty-three million, four hundred thirty thousand, five hundred thirty".