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18656430237481 = 17241261972
BaseRepresentation
bin1000011110111110010011…
…11001011010011100101001
32110001112111200220210100111
410033133021321122130221
54421131332120044411
6103402351251134321
73633611506332421
oct417371171323451
973045450823314
1018656430237481
115a43169551453
1221138a88a43a1
13a543a86b303a
14486d94387481
1522546ad8b721
hex10f7c9e5a729

18656430237481 has 27 divisors (see below), whose sum is σ = 20316866751727. Its totient is φ = 17127960680960.

The previous prime is 18656430237377. The next prime is 18656430237493. The reversal of 18656430237481 is 18473203465681.

The square root of 18656430237481 is 4319309.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 15706486585881 + 2949943651600 = 3963141^2 + 1717540^2 .

It is not a de Polignac number, because 18656430237481 - 213 = 18656430229289 is a prime.

It is a super-2 number, since 2×186564302374812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18656430237581) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3010555275 + ... + 3010561471.

Almost surely, 218656430237481 is an apocalyptic number.

18656430237481 is the 4319309-th square number.

18656430237481 is the 2159655-th centered octagonal number.

It is an amenable number.

18656430237481 is a deficient number, since it is larger than the sum of its proper divisors (1660436514246).

18656430237481 is an frugal number, since it uses more digits than its factorization.

18656430237481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 18656430237481 in words is "eighteen trillion, six hundred fifty-six billion, four hundred thirty million, two hundred thirty-seven thousand, four hundred eighty-one".

Divisors: 1 17 41 289 697 1681 6197 11849 28577 105349 254077 485809 1790933 4319309 10417157 38402809 73428253 177091669 652847753 1574515169 3010558373 11098411801 26766757873 64555121929 455034883841 1097437072793 18656430237481