Search a number
-
+
7116226560 = 21632519127
BaseRepresentation
bin1101010000010100…
…10000000000000000
3200100221102202122200
412220022100000000
5104033223222220
63134045233200
7341226633132
oct65012200000
920327382580
107116226560
113021a19383
121467262800
1389540b461
144b7173052
152b9b26890
hex1a8290000

7116226560 has 408 divisors, whose sum is σ = 26172257280. Its totient is φ = 1783627776.

The previous prime is 7116226529. The next prime is 7116226561. The reversal of 7116226560 is 656226117.

It is a happy number.

7116226560 is a `hidden beast` number, since 7 + 11 + 62 + 26 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7116226561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56033217 + ... + 56033343.

Almost surely, 27116226560 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 7116226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086128640).

7116226560 is an abundant number, since it is smaller than the sum of its proper divisors (19056030720).

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

7116226560 is a wasteful number, since it uses less digits than its factorization.

7116226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7116226560 is about 84357.7296991805. The cubic root of 7116226560 is about 1923.4604261754.

The spelling of 7116226560 in words is "seven billion, one hundred sixteen million, two hundred twenty-six thousand, five hundred sixty".