Search a number
-
+
5193004848640 = 29573123939113
BaseRepresentation
bin100101110010001011100…
…1101011001011000000000
3200101110001102210022012121
41023210113031121120000
51140040233220124030
615013344500134024
71044116333622640
oct113442715313000
920343042708177
105193004848640
111722382945a34
126ba532997314
132b89100b740b
1413d4b2810520
15901369d847a
hex4b917359600

5193004848640 has 320 divisors, whose sum is σ = 14750621614080. Its totient is φ = 1715771473920.

The previous prime is 5193004848613. The next prime is 5193004848649. The reversal of 5193004848640 is 468484003915.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5193004848649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132749724 + ... + 132788836.

It is an arithmetic number, because the mean of its divisors is an integer number (46095692544).

Almost surely, 25193004848640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5193004848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375310807040).

5193004848640 is an abundant number, since it is smaller than the sum of its proper divisors (9557616765440).

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

5193004848640 is a wasteful number, since it uses less digits than its factorization.

5193004848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39413 (or 39397 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 5193004848640 in words is "five trillion, one hundred ninety-three billion, four million, eight hundred forty-eight thousand, six hundred forty".