Search a number
-
+
5365036656 = 24327229157167
BaseRepresentation
bin1001111111100011…
…11111011001110000
3111211220021002201100
410333301333121300
541441422133111
62244211204400
7246644026200
oct47761773160
914756232640
105365036656
1123034724a1
1210588a6700
1367667b005
1438c764400
15216010756
hex13fc7f670

5365036656 has 360 divisors, whose sum is σ = 18292266720. Its totient is φ = 1461777408.

The previous prime is 5365036597. The next prime is 5365036657. The reversal of 5365036656 is 6566305635.

5365036656 is a `hidden beast` number, since 5 + 36 + 503 + 66 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5365036657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32125885 + ... + 32126051.

It is an arithmetic number, because the mean of its divisors is an integer number (50811852).

Almost surely, 25365036656 is an apocalyptic number.

5365036656 is a gapful number since it is divisible by the number (56) 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 5365036656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9146133360).

5365036656 is an abundant number, since it is smaller than the sum of its proper divisors (12927230064).

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

5365036656 is a wasteful number, since it uses less digits than its factorization.

5365036656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The square root of 5365036656 is about 73246.4105332132. The cubic root of 5365036656 is about 1750.6160177967.

The spelling of 5365036656 in words is "five billion, three hundred sixty-five million, thirty-six thousand, six hundred fifty-six".