Search a number
-
+
11692130688 = 273272434817
BaseRepresentation
bin10101110001110011…
…11100000110000000
31010011211210210001100
422320321330012000
5142421141140223
65212110534400
7562512320400
oct127071740600
933154723040
1011692130688
114a5a9a2927
122323807400
13114443cc34
147ccb9a800
1548670a043
hex2b8e7c180

11692130688 has 288 divisors, whose sum is σ = 40056948360. Its totient is φ = 3262242816.

The previous prime is 11692130683. The next prime is 11692130689. The reversal of 11692130688 is 88603129611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11692130683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2424856 + ... + 2429672.

Almost surely, 211692130688 is an apocalyptic number.

11692130688 is a gapful number since it is divisible by the number (18) 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 11692130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028474180).

11692130688 is an abundant number, since it is smaller than the sum of its proper divisors (28364817672).

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

11692130688 is a wasteful number, since it uses less digits than its factorization.

11692130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11692130688 in words is "eleven billion, six hundred ninety-two million, one hundred thirty thousand, six hundred eighty-eight".