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11530818990 = 236517195983
BaseRepresentation
bin10101011110100101…
…00101010110101110
31002202121021022000000
422233102211112232
5142103342201430
65144105245130
7555513226035
oct125722452656
932677238000
1011530818990
114987934a79
1222997937a6
131119bb0422
147b55a971c
15477493e60
hex2af4a55ae

11530818990 has 448 divisors, whose sum is σ = 35696505600. Its totient is φ = 2662751232.

The previous prime is 11530818979. The next prime is 11530819037. The reversal of 11530818990 is 9981803511.

11530818990 is a `hidden beast` number, since 11 + 530 + 8 + 18 + 9 + 90 = 666.

11530818990 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 138925489 + ... + 138925571.

It is an arithmetic number, because the mean of its divisors is an integer number (79679700).

Almost surely, 211530818990 is an apocalyptic number.

11530818990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530818990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848252800).

11530818990 is an abundant number, since it is smaller than the sum of its proper divisors (24165686610).

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

11530818990 is a wasteful number, since it uses less digits than its factorization.

11530818990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 11530818990 in words is "eleven billion, five hundred thirty million, eight hundred eighteen thousand, nine hundred ninety".