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2905204133 = 13217190557
BaseRepresentation
bin1010110100101001…
…1110010110100101
321111110122122212002
42231022132112211
521422213013013
61200140335045
7131664553616
oct25512362645
97443578762
102905204133
111260a03957
12690b44485
13373b73700
141d7babc0d
151200bb358
hexad29e5a5

2905204133 has 6 divisors (see below), whose sum is σ = 3145872114. Its totient is φ = 2681726736.

The previous prime is 2905204061. The next prime is 2905204151. The reversal of 2905204133 is 3314025092.

It can be written as a sum of positive squares in 3 ways, for example, as 152942689 + 2752261444 = 12367^2 + 52462^2 .

It is not a de Polignac number, because 2905204133 - 212 = 2905200037 is a prime.

It is a super-2 number, since 2×29052041332 = 16880422108800563378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2905204096 and 2905204105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905204193) 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 5 ways as a sum of consecutive naturals, for example, 8595110 + ... + 8595447.

It is an arithmetic number, because the mean of its divisors is an integer number (524312019).

Almost surely, 22905204133 is an apocalyptic number.

It is an amenable number.

2905204133 is a deficient number, since it is larger than the sum of its proper divisors (240667981).

2905204133 is a wasteful number, since it uses less digits than its factorization.

2905204133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190583 (or 17190570 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2905204133 is about 53899.9455751117. The cubic root of 2905204133 is about 1426.8956624718.

The spelling of 2905204133 in words is "two billion, nine hundred five million, two hundred four thousand, one hundred thirty-three".

Divisors: 1 13 169 17190557 223477241 2905204133