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3668240025 = 3252171934969
BaseRepresentation
bin1101101010100100…
…1110011010011001
3100110122102220022200
43122221032122121
530003032140100
61403555040413
7156621345222
oct33251163231
910418386280
103668240025
11161269802a
128645a0109
13465c83838
1426b274249
15167090e00
hexdaa4e699

3668240025 has 72 divisors (see below), whose sum is σ = 6994161720. Its totient is φ = 1831403520.

The previous prime is 3668239987. The next prime is 3668240039. The reversal of 3668240025 is 5200428663.

It can be written as a sum of positive squares in 12 ways, for example, as 1458017856 + 2210222169 = 38184^2 + 47013^2 .

It is not a de Polignac number, because 3668240025 - 214 = 3668223641 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, 735741 + ... + 740709.

It is an arithmetic number, because the mean of its divisors is an integer number (97141135).

Almost surely, 23668240025 is an apocalyptic number.

It is an amenable number.

3668240025 is a deficient number, since it is larger than the sum of its proper divisors (3325921695).

3668240025 is a wasteful number, since it uses less digits than its factorization.

3668240025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5187 counting only the distinct ones).

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

The square root of 3668240025 is about 60565.9972674437. The cubic root of 3668240025 is about 1542.2421975192.

Adding to 3668240025 its reverse (5200428663), we get a palindrome (8868668688).

The spelling of 3668240025 in words is "three billion, six hundred sixty-eight million, two hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 193 225 255 425 579 765 965 1275 1737 2895 3281 3825 4825 4969 8685 9843 14475 14907 16405 24845 29529 43425 44721 49215 74535 82025 84473 124225 147645 223605 246075 253419 372675 422365 738225 760257 959017 1118025 1267095 2111825 2877051 3801285 4795085 6335475 8631153 14385255 16303289 19006425 23975425 43155765 48909867 71926275 81516445 146729601 215778825 244549335 407582225 733648005 1222746675 3668240025