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11163769344 = 293271379337
BaseRepresentation
bin10100110010110100…
…11001101000000000
31001211000121020112200
422121122121220000
5140330411104334
65043434153200
7543435321330
oct123132315000
931730536480
1011163769344
114809725162
1221b6882800
13108bb379a0
1477c9410c0
1545513d799
hex299699a00

11163769344 has 480 divisors, whose sum is σ = 40275755520. Its totient is φ = 2898395136.

The previous prime is 11163769343. The next prime is 11163769361. The reversal of 11163769344 is 44396736111.

11163769344 is a `hidden beast` number, since 1 + 1 + 1 + 637 + 6 + 9 + 3 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11163769344.

It is not an unprimeable number, because it can be changed into a prime (11163769343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33126744 + ... + 33127080.

It is an arithmetic number, because the mean of its divisors is an integer number (83907824).

Almost surely, 211163769344 is an apocalyptic number.

11163769344 is a gapful number since it is divisible by the number (14) 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 11163769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137877760).

11163769344 is an abundant number, since it is smaller than the sum of its proper divisors (29111986176).

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

11163769344 is a wasteful number, since it uses less digits than its factorization.

11163769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 11163769344 in words is "eleven billion, one hundred sixty-three million, seven hundred sixty-nine thousand, three hundred forty-four".