Search a number
-
+
5123231568000 = 273253713390967
BaseRepresentation
bin100101010001101100001…
…1001011101000010000000
3200010202221211001101211100
41022203120121131002000
51132414334240134000
614521325144414400
71036066311543450
oct112433031350200
920122854041740
105123231568000
1116a5828726537
126a8abba77400
132b2170920a40
14139d73d73d60
158d40125da00
hex4a8d865d080

5123231568000 has 768 divisors, whose sum is σ = 22644741450240. Its totient is φ = 1080942796800.

The previous prime is 5123231567989. The next prime is 5123231568001. The reversal of 5123231568000 is 8651323215.

5123231568000 is a `hidden beast` number, since 51 + 23 + 23 + 1 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5123231568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12908517 + ... + 13299483.

It is an arithmetic number, because the mean of its divisors is an integer number (29485340430).

Almost surely, 25123231568000 is an apocalyptic number.

5123231568000 is a gapful number since it is divisible by the number (50) 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 5123231568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322370725120).

5123231568000 is an abundant number, since it is smaller than the sum of its proper divisors (17521509882240).

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

5123231568000 is a wasteful number, since it uses less digits than its factorization.

5123231568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391022 (or 390997 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

It can be divided in two parts, 51232315 and 68000, that added together give a palindrome (51300315).

The spelling of 5123231568000 in words is "five trillion, one hundred twenty-three billion, two hundred thirty-one million, five hundred sixty-eight thousand".