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11034144576 = 26327213172961
BaseRepresentation
bin10100100011010111…
…11010111101000000
31001110222200121210100
422101223322331000
5140044220111301
65022524002400
7540302452500
oct122153727500
931428617710
1011034144576
11475253a154
12217b390400
13106b020c40
1476963ba00
15448a86286
hex291afaf40

11034144576 has 1008 divisors, whose sum is σ = 44109833040. Its totient is φ = 2601123840.

The previous prime is 11034144533. The next prime is 11034144581. The reversal of 11034144576 is 67544143011.

11034144576 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 41 + 44 + 576 = 666.

11034144576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1209370176 + 9824774400 = 34776^2 + 99120^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11034144576.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 180887586 + ... + 180887646.

It is an arithmetic number, because the mean of its divisors is an integer number (43759755).

Almost surely, 211034144576 is an apocalyptic number.

11034144576 is a gapful number since it is divisible by the number (16) 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 11034144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054916520).

11034144576 is an abundant number, since it is smaller than the sum of its proper divisors (33075688464).

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

11034144576 is a wasteful number, since it uses less digits than its factorization.

11034144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 11034144576 its reverse (67544143011), we get a palindrome (78578287587).

The spelling of 11034144576 in words is "eleven billion, thirty-four million, one hundred forty-four thousand, five hundred seventy-six".