Search a number
-
+
5286512196 = 223374192937
BaseRepresentation
bin1001110110001100…
…11100011001000100
3111122102111122102000
410323012130121010
541311321342241
62232324145300
7245001420000
oct47306343104
914572448360
105286512196
112273109949
121036538230
13663316434
14382163700
1520e19deb6
hex13b19c644

5286512196 has 480 divisors, whose sum is σ = 17881584000. Its totient is φ = 1344252672.

The previous prime is 5286512173. The next prime is 5286512197. The reversal of 5286512196 is 6912156825.

5286512196 is a `hidden beast` number, since 52 + 86 + 512 + 1 + 9 + 6 = 666.

It is a super-2 number, since 2×52865121962 = 55894422396913484832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286512197) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 142878690 + ... + 142878726.

It is an arithmetic number, because the mean of its divisors is an integer number (37253300).

Almost surely, 25286512196 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 5286512196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940792000).

5286512196 is an abundant number, since it is smaller than the sum of its proper divisors (12595071804).

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

5286512196 is a wasteful number, since it uses less digits than its factorization.

5286512196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 5286512196 is about 72708.4052637658. The cubic root of 5286512196 is about 1742.0331406489.

The spelling of 5286512196 in words is "five billion, two hundred eighty-six million, five hundred twelve thousand, one hundred ninety-six".