Search a number
-
+
5069586091200 = 2635231125927061
BaseRepresentation
bin100100111000101101011…
…1000001100110011000000
3122221122111011121211011020
41021301122320030303000
51131030003014404300
614440534035545440
71032160032530451
oct111613270146300
918848434554136
105069586091200
111684aaa203844
1269a62a15b280
132aa0a183a567
14137525417128
158bd118228a0
hex49c5ae0ccc0

5069586091200 has 336 divisors, whose sum is σ = 17183270200320. Its totient is φ = 1307192832000.

The previous prime is 5069586091187. The next prime is 5069586091201. The reversal of 5069586091200 is 21906859605.

It is not an unprimeable number, because it can be changed into a prime (5069586091201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187325670 + ... + 187352730.

It is an arithmetic number, because the mean of its divisors is an integer number (51140685120).

Almost surely, 25069586091200 is an apocalyptic number.

5069586091200 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 5069586091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591635100160).

5069586091200 is an abundant number, since it is smaller than the sum of its proper divisors (12113684109120).

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

5069586091200 is a wasteful number, since it uses less digits than its factorization.

5069586091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28376 (or 28361 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 5069586091200 in words is "five trillion, sixty-nine billion, five hundred eighty-six million, ninety-one thousand, two hundred".