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2045843361 = 32150772
BaseRepresentation
bin111100111110001…
…0001011110100001
312021120121121111100
41321330101132201
513142213441421
6535001305013
7101461244622
oct17174213641
95246547440
102045843361
1195a909441
12491195169
13267b08803
141559cda49
15be91ac26
hex79f117a1

2045843361 has 9 divisors (see below), whose sum is σ = 2955303091. Its totient is φ = 1363805112.

The previous prime is 2045843347. The next prime is 2045843377. The reversal of 2045843361 is 1633485402.

The square root of 2045843361 is 45231.

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

2045843361 is a `hidden beast` number, since 204 + 58 + 43 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60606225 + 1985237136 = 7785^2 + 44556^2 .

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

It is not a de Polignac number, because 2045843361 - 215 = 2045810593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2045843321) 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, 128155 + ... + 143231.

Almost surely, 22045843361 is an apocalyptic number.

2045843361 is the 45231-st square number.

2045843361 is the 22616-th centered octagonal number.

It is an amenable number.

2045843361 is a deficient number, since it is larger than the sum of its proper divisors (909459730).

2045843361 is an frugal number, since it uses more digits than its factorization.

2045843361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160 (or 15080 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 2045843361 is about 1269.4749231624.

Multiplying 2045843361 by its sum of digits (36), we get a square (73650360996 = 2713862).

The spelling of 2045843361 in words is "two billion, forty-five million, eight hundred forty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 15077 45231 135693 227315929 681947787 2045843361