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1168204041 = 32113932
BaseRepresentation
bin100010110100001…
…0110000100001001
310000102011220200100
41011220112010021
54343030012131
6311530400013
740643366454
oct10550260411
93012156610
101168204041
1154a469a94
12287290009
13158040bc4
14b121449b
156c8597e6
hex45a16109

1168204041 has 9 divisors (see below), whose sum is σ = 1687553959. Its totient is φ = 778734336.

The previous prime is 1168204033. The next prime is 1168204073. The reversal of 1168204041 is 1404028611.

It is a happy number.

The square root of 1168204041 is 34179.

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., 868775625 + 299428416 = 29475^2 + 17304^2 .

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

It is not a de Polignac number, because 1168204041 - 23 = 1168204033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1168203996 and 1168204014.

It is not an unprimeable number, because it can be changed into a prime (1168200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96841 + ... + 108233.

Almost surely, 21168204041 is an apocalyptic number.

1168204041 is the 34179-th square number.

1168204041 is the 17090-th centered octagonal number.

It is an amenable number.

1168204041 is a deficient number, since it is larger than the sum of its proper divisors (519349918).

1168204041 is an frugal number, since it uses more digits than its factorization.

1168204041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22792 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 1168204041 is about 1053.1888066028.

It can be divided in two parts, 1168 and 204041, that added together give a square (205209 = 4532).

The spelling of 1168204041 in words is "one billion, one hundred sixty-eight million, two hundred four thousand, forty-one".

Divisors: 1 3 9 11393 34179 102537 129800449 389401347 1168204041