Search a number
-
+
11026675000 = 235511101397
BaseRepresentation
bin10100100010011110…
…11011010100111000
31001110110122010110101
422101033123110320
5140040312100000
65022055525144
7540152122345
oct122117332470
931413563411
1011026675000
1147492a8150
1221789897b4
131069607083
147686557cc
154480ace6a
hex2913db538

11026675000 has 192 divisors, whose sum is σ = 28542235680. Its totient is φ = 3960000000.

The previous prime is 11026674977. The next prime is 11026675001. The reversal of 11026675000 is 57662011.

11026675000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11026675000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11026675001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27774802 + ... + 27775198.

Almost surely, 211026675000 is an apocalyptic number.

11026675000 is a gapful number since it is divisible by the number (10) 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 11026675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271117840).

11026675000 is an abundant number, since it is smaller than the sum of its proper divisors (17515560680).

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

11026675000 is a wasteful number, since it uses less digits than its factorization.

11026675000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 11026675000 in words is "eleven billion, twenty-six million, six hundred seventy-five thousand".