Search a number
-
+
11326644216 = 23322397107659
BaseRepresentation
bin10101000110001111…
…01101111111111000
31002020101002010212100
422203013231333320
5141144110103331
65111533143400
7550453613226
oct124307557770
932211063770
1011326644216
114892660498
12224132ab60
1310b67c3b54
1479641bb16
154645b2ae6
hex2a31edff8

11326644216 has 192 divisors, whose sum is σ = 32691859200. Its totient is φ = 3535386624.

The previous prime is 11326644209. The next prime is 11326644221. The reversal of 11326644216 is 61244662311.

11326644216 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 6 + 644 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17187295 + ... + 17187953.

It is an arithmetic number, because the mean of its divisors is an integer number (170270100).

Almost surely, 211326644216 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 11326644216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

11326644216 is an abundant number, since it is smaller than the sum of its proper divisors (21365214984).

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

11326644216 is a wasteful number, since it uses less digits than its factorization.

11326644216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 891 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 11326644216 in words is "eleven billion, three hundred twenty-six million, six hundred forty-four thousand, two hundred sixteen".