Search a number
-
+
5113914068760 = 23357219293159863
BaseRepresentation
bin100101001101010110100…
…0010000000111100011000
3200002212220110112101201220
41022122231002000330120
51132241244000200020
614513144422212040
71035316362240600
oct112325502007430
920085813471656
105113914068760
1116a1887199442
126a713b584020
132b1317456893
1413972c711c00
158d058268240
hex4a6ad080f18

5113914068760 has 1536 divisors, whose sum is σ = 20424130560000. Its totient is φ = 1015982714880.

The previous prime is 5113914068743. The next prime is 5113914068773. The reversal of 5113914068760 is 678604193115.

It is a happy number.

It is a super-2 number, since 2×51139140687602 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5925740089 + ... + 5925740951.

It is an arithmetic number, because the mean of its divisors is an integer number (13296960000).

Almost surely, 25113914068760 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 5113914068760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10212065280000).

5113914068760 is an abundant number, since it is smaller than the sum of its proper divisors (15310216491240).

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

5113914068760 is a wasteful number, since it uses less digits than its factorization.

5113914068760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 5113914068760 in words is "five trillion, one hundred thirteen billion, nine hundred fourteen million, sixty-eight thousand, seven hundred sixty".