Search a number
-
+
5068043914752 = 293472131923439
BaseRepresentation
bin100100110111111111011…
…1101010000111000000000
3122221111111200202010210000
41021233332331100320000
51131013323220233002
614440121025440000
71032103565331300
oct111577675207000
918844450663700
105068043914752
111684388736855
1269a2797a0000
132a9bb719bc10
1413741a695600
158bc7124661c
hex49bfef50e00

5068043914752 has 2400 divisors, whose sum is σ = 20862089740800. Its totient is φ = 1208463556608.

The previous prime is 5068043914741. The next prime is 5068043914757. The reversal of 5068043914752 is 2574193408605.

It is a happy number.

5068043914752 is a `hidden beast` number, since 5 + 0 + 6 + 80 + 4 + 3 + 91 + 475 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5068043914757) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11544518949 + ... + 11544519387.

It is an arithmetic number, because the mean of its divisors is an integer number (8692537392).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5068043914752 = 10136087829504, but 3⋅5068043914752 = 15204131744256 is not.

Almost surely, 25068043914752 is an apocalyptic number.

5068043914752 is a gapful number since it is divisible by the number (52) 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 5068043914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431044870400).

5068043914752 is an abundant number, since it is smaller than the sum of its proper divisors (15794045826048).

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

5068043914752 is a wasteful number, since it uses less digits than its factorization.

5068043914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5068043914752 in words is "five trillion, sixty-eight billion, forty-three million, nine hundred fourteen thousand, seven hundred fifty-two".