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11828444161 = 1711316933637
BaseRepresentation
bin10110000010000011…
…11011110000000001
31010112100022012222111
423001001323300001
5143211040203121
65233420335321
7566056054642
oct130101736001
933470265874
1011828444161
11501a937196
1223613a4541
1311667592b1
14802d216c9
154936842e1
hex2c107bc01

11828444161 has 16 divisors (see below), whose sum is σ = 12646008144. Its totient is φ = 11024584704.

The previous prime is 11828444137. The next prime is 11828444179. The reversal of 11828444161 is 16144482811.

It can be written as a sum of positive squares in 8 ways, for example, as 3221243536 + 8607200625 = 56756^2 + 92775^2 .

It is a cyclic number.

It is not a de Polignac number, because 11828444161 - 211 = 11828442113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11828444191) 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 15 ways as a sum of consecutive naturals, for example, 3250435 + ... + 3254071.

It is an arithmetic number, because the mean of its divisors is an integer number (790375509).

Almost surely, 211828444161 is an apocalyptic number.

It is an amenable number.

11828444161 is a deficient number, since it is larger than the sum of its proper divisors (817563983).

11828444161 is a wasteful number, since it uses less digits than its factorization.

11828444161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460.

The product of its digits is 49152, while the sum is 40.

The spelling of 11828444161 in words is "eleven billion, eight hundred twenty-eight million, four hundred forty-four thousand, one hundred sixty-one".

Divisors: 1 17 113 1693 1921 3637 28781 61829 191309 410981 3252253 6157441 6986677 104676497 695790833 11828444161