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2104423425 = 3252132924809
BaseRepresentation
bin111110101101110…
…1111010000000001
312102122211210020100
41331123233100001
513302213022200
6544453033013
7103102206156
oct17533572001
95378753210
102104423425
1198a98a515
124a8925769
13276ca9380
1415d6bc22d
15c4b3cd00
hex7d6ef401

2104423425 has 72 divisors (see below), whose sum is σ = 4199340600. Its totient is φ = 1000258560.

The previous prime is 2104423411. The next prime is 2104423471. The reversal of 2104423425 is 5243244012.

2104423425 is a `hidden beast` number, since 210 + 4 + 4 + 23 + 425 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 490312449 + 1614110976 = 22143^2 + 40176^2 .

It is not a de Polignac number, because 2104423425 - 25 = 2104423393 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 72421 + ... + 97229.

It is an arithmetic number, because the mean of its divisors is an integer number (58324175).

Almost surely, 22104423425 is an apocalyptic number.

2104423425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2104423425 is a deficient number, since it is larger than the sum of its proper divisors (2094917175).

2104423425 is a wasteful number, since it uses less digits than its factorization.

2104423425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24867 (or 24859 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2104423425 is about 45873.9950843612. The cubic root of 2104423425 is about 1281.4776686839.

Adding to 2104423425 its reverse (5243244012), we get a palindrome (7347667437).

The spelling of 2104423425 in words is "two billion, one hundred four million, four hundred twenty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1885 2175 2925 3393 5655 6525 9425 16965 24809 28275 74427 84825 124045 223281 322517 372135 620225 719461 967551 1116405 1612585 1860675 2158383 2902653 3597305 4837755 5582025 6475149 8062925 9352993 10791915 14513265 17986525 24188775 28058979 32375745 46764965 53959575 72566325 84176937 140294895 161878725 233824825 420884685 701474475 2104423425