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18311773041 = 3243210492
BaseRepresentation
bin10001000011011101…
…110111101101110001
31202021011211110020100
4101003131313231301
5300000303214131
612225020503013
71215532334262
oct210335675561
952234743210
1018311773041
117847578131
1236706aaa69
13195a9c0c83
14c59dc6969
157229407e6
hex443777b71

18311773041 has 27 divisors (see below), whose sum is σ = 27105607659. Its totient is φ = 11912578272.

The previous prime is 18311773033. The next prime is 18311773093. The reversal of 18311773041 is 14037711381.

The square root of 18311773041 is 135321.

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

18311773041 is a `hidden beast` number, since 183 + 1 + 177 + 304 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16607734641 + 1704038400 = 128871^2 + 41280^2 .

It is not a de Polignac number, because 18311773041 - 23 = 18311773033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18311772987 and 18311773005.

It is not an unprimeable number, because it can be changed into a prime (18311773141) 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, 17455885 + ... + 17456933.

Almost surely, 218311773041 is an apocalyptic number.

18311773041 is the 135321-st square number.

18311773041 is the 67661-st centered octagonal number.

It is an amenable number.

18311773041 is a deficient number, since it is larger than the sum of its proper divisors (8793834618).

18311773041 is an frugal number, since it uses more digits than its factorization.

18311773041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 18311773041 by its sum of digits (36), we get a square (659223829476 = 8119262).

The spelling of 18311773041 in words is "eighteen billion, three hundred eleven million, seven hundred seventy-three thousand, forty-one".

Divisors: 1 3 9 43 129 387 1049 1849 3147 5547 9441 16641 45107 135321 405963 1100401 1939601 3301203 5818803 9903609 17456409 47317243 141951729 425855187 2034641449 6103924347 18311773041