Search a number
-
+
11206000608 = 2531141614243
BaseRepresentation
bin10100110111110110…
…11111111111100000
31001220222001210221120
422123323133333200
5140422214004413
65051543252240
7544460301465
oct123373377740
931828053846
1011206000608
11483054a130
122208a4a080
131097802cba
147843b566c
15458bd1723
hex29bedffe0

11206000608 has 192 divisors, whose sum is σ = 33419361024. Its totient is φ = 3257856000.

The previous prime is 11206000607. The next prime is 11206000609. The reversal of 11206000608 is 80600060211.

It is an interprime number because it is at equal distance from previous prime (11206000607) and next prime (11206000609).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206000607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638935 + ... + 2643177.

It is an arithmetic number, because the mean of its divisors is an integer number (174059172).

Almost surely, 211206000608 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 11206000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709680512).

11206000608 is an abundant number, since it is smaller than the sum of its proper divisors (22213360416).

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

11206000608 is a wasteful number, since it uses less digits than its factorization.

11206000608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11206000608 its reverse (80600060211), we get a palindrome (91806060819).

The spelling of 11206000608 in words is "eleven billion, two hundred six million, six hundred eight", and thus it is an aban number.