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2112435405 = 325177726417
BaseRepresentation
bin111110111101001…
…0011010011001101
312110012220211121100
41331322103103031
513311240413110
6545340453313
7103230255543
oct17572232315
95405824540
102112435405
11994461a93
124ab54a239
132788530a2
141607a5d93
15c56c1bc0
hex7de934cd

2112435405 has 24 divisors (see below), whose sum is σ = 3663753912. Its totient is φ = 1125955584.

The previous prime is 2112435397. The next prime is 2112435427. The reversal of 2112435405 is 5045342112.

2112435405 is a `hidden beast` number, since 2 + 11 + 243 + 5 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40182921 + 2072252484 = 6339^2 + 45522^2 .

It is not a de Polignac number, because 2112435405 - 23 = 2112435397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66757 + ... + 93173.

It is an arithmetic number, because the mean of its divisors is an integer number (152656413).

Almost surely, 22112435405 is an apocalyptic number.

It is an amenable number.

2112435405 is a deficient number, since it is larger than the sum of its proper divisors (1551318507).

2112435405 is a wasteful number, since it uses less digits than its factorization.

2112435405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28205 (or 28202 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2112435405 is about 45961.2380707918. The cubic root of 2112435405 is about 1283.1018936476.

Adding to 2112435405 its reverse (5045342112), we get a palindrome (7157777517).

The spelling of 2112435405 in words is "two billion, one hundred twelve million, four hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 1777 5331 8885 15993 26417 26655 79251 79965 132085 237753 396255 1188765 46943009 140829027 234715045 422487081 704145135 2112435405