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118184000841 = 321145932
BaseRepresentation
bin110111000010001010…
…0001011110101001001
3102022001110001021222100
41232010110023311021
53414020101011331
6130143141144013
711352465301134
oct1560424136511
9368043037870
10118184000841
1146137873075
121aaa36bb009
13b1b5bb4c5a
145a120a721b
15311a83bae6
hex1b8450bd49

118184000841 has 9 divisors (see below), whose sum is σ = 170711713159. Its totient is φ = 78788646336.

The previous prime is 118184000827. The next prime is 118184000927. The reversal of 118184000841 is 148000481811.

The square root of 118184000841 is 343779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113997393225 + 4186607616 = 337635^2 + 64704^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 118184000841 - 29 = 118184000329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 118184000796 and 118184000805.

It is not an unprimeable number, because it can be changed into a prime (118184000821) 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 8 ways as a sum of consecutive naturals, for example, 974041 + ... + 1088633.

Almost surely, 2118184000841 is an apocalyptic number.

118184000841 is the 343779-th square number.

118184000841 is the 171890-th centered octagonal number.

It is an amenable number.

118184000841 is a deficient number, since it is larger than the sum of its proper divisors (52527712318).

118184000841 is an frugal number, since it uses more digits than its factorization.

118184000841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229192 (or 114596 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

Multiplying 118184000841 by its sum of digits (36), we get a square (4254624030276 = 20626742).

The spelling of 118184000841 in words is "one hundred eighteen billion, one hundred eighty-four million, eight hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 114593 343779 1031337 13131555649 39394666947 118184000841