Search a number
-
+
6205874401 = 29210173061
BaseRepresentation
bin1011100011110011…
…00010000011100001
3121000111110002021001
411301321202003201
5100202200440101
62503445232001
7306534030166
oct56171420341
917014402231
106205874401
1126a5066321
121252402601
1377b92bb3c
1442c2c006d
15264c52901
hex171e620e1

6205874401 has 12 divisors (see below), whose sum is σ = 6490974204. Its totient is φ = 5932472000.

The previous prime is 6205874341. The next prime is 6205874413. The reversal of 6205874401 is 1044785026.

It can be written as a sum of positive squares in 6 ways, for example, as 216225 + 6205658176 = 465^2 + 78776^2 .

It is not a de Polignac number, because 6205874401 - 211 = 6205872353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6202874401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48411 + ... + 121471.

It is an arithmetic number, because the mean of its divisors is an integer number (540914517).

Almost surely, 26205874401 is an apocalyptic number.

It is an amenable number.

6205874401 is a deficient number, since it is larger than the sum of its proper divisors (285099803).

6205874401 is a wasteful number, since it uses less digits than its factorization.

6205874401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73220 (or 73191 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 6205874401 is about 78777.3723920772. The cubic root of 6205874401 is about 1837.6705715197.

The spelling of 6205874401 in words is "six billion, two hundred five million, eight hundred seventy-four thousand, four hundred one".

Divisors: 1 29 101 841 2929 73061 84941 2118769 7379161 61444301 213995669 6205874401