Search a number
-
+
19493420115840 = 2735111737239659
BaseRepresentation
bin1000110111010101010100…
…11000011010011110000000
32120000112220222001001012220
410123222222120122132000
510023340011022201330
6105243053101051040
74051232060035416
oct433525230323600
976015828031186
1019493420115840
116236127510250
122229b56b56a80
13ab52b5bc56a8
144b56b51db2b6
1523c106772710
hex11baaa61a780

19493420115840 has 768 divisors, whose sum is σ = 73765277510400. Its totient is φ = 4327379435520.

The previous prime is 19493420115791. The next prime is 19493420115853. The reversal of 19493420115840 is 4851102439491.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491505931 + ... + 491545589.

It is an arithmetic number, because the mean of its divisors is an integer number (96048538425).

Almost surely, 219493420115840 is an apocalyptic number.

19493420115840 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 19493420115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36882638755200).

19493420115840 is an abundant number, since it is smaller than the sum of its proper divisors (54271857394560).

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

19493420115840 is a wasteful number, since it uses less digits than its factorization.

19493420115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39783 (or 39734 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 19493420115840 in words is "nineteen trillion, four hundred ninety-three billion, four hundred twenty million, one hundred fifteen thousand, eight hundred forty".