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18544720041 = 34151312
BaseRepresentation
bin10001010001010110…
…011111100010101001
31202212102011101110000
4101101112133202221
5300434422020131
612304101413213
71224361343121
oct212126374251
952772141400
1018544720041
117957013711
12371670a209
131997042733
14c7cd03c81
15738106ce6
hex45159f8a9

18544720041 has 15 divisors (see below), whose sum is σ = 27704437453. Its totient is φ = 12362329620.

The previous prime is 18544720039. The next prime is 18544720063. The reversal of 18544720041 is 14002744581.

It is a happy number.

The square root of 18544720041 is 136179.

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

18544720041 is a `hidden beast` number, since 1 + 8 + 5 + 447 + 200 + 4 + 1 = 666.

It is not a de Polignac number, because 18544720041 - 21 = 18544720039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18544719978 and 18544720005.

It is not an unprimeable number, because it can be changed into a prime (18544720031) 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 14 ways as a sum of consecutive naturals, for example, 1218046 + ... + 1233176.

Almost surely, 218544720041 is an apocalyptic number.

18544720041 is the 136179-th square number.

18544720041 is the 68090-th centered octagonal number.

It is an amenable number.

18544720041 is a deficient number, since it is larger than the sum of its proper divisors (9159717412).

18544720041 is an frugal number, since it uses more digits than its factorization.

18544720041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30274 (or 15134 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Multiplying 18544720041 by its sum of digits (36), we get a square (667609921476 = 8170742).

The spelling of 18544720041 in words is "eighteen billion, five hundred forty-four million, seven hundred twenty thousand, forty-one".

Divisors: 1 3 9 27 81 15131 45393 136179 408537 1225611 228947161 686841483 2060524449 6181573347 18544720041