Search a number
-
+
18142365729663 = 34731997117689
BaseRepresentation
bin1000010000000000110010…
…10000111100001101111111
32101020101121122212001110000
410020000121100330031333
54334221031111322123
6102330253204445343
73551512510164060
oct410003120741577
971211548761400
1018142365729663
11586515253607a
1220501416a9853
13a17a8278b6b6
1446a149298567
15216dd0631b43
hex10801943c37f

18142365729663 has 20 divisors (see below), whose sum is σ = 30973209923920. Its totient is φ = 10367066130912.

The previous prime is 18142365729647. The next prime is 18142365729739. The reversal of 18142365729663 is 36692756324181.

18142365729663 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 236 + 57 + 296 + 63 = 666.

It is not a de Polignac number, because 18142365729663 - 24 = 18142365729647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18142365729663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18142365729643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15998558278 + ... + 15998559411.

It is an arithmetic number, because the mean of its divisors is an integer number (1548660496196).

Almost surely, 218142365729663 is an apocalyptic number.

18142365729663 is a deficient number, since it is larger than the sum of its proper divisors (12830844194257).

18142365729663 is an equidigital number, since it uses as much as digits as its factorization.

18142365729663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31997117708 (or 31997117699 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 18142365729663 in words is "eighteen trillion, one hundred forty-two billion, three hundred sixty-five million, seven hundred twenty-nine thousand, six hundred sixty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 31997117689 95991353067 223979823823 287974059201 671939471469 863922177603 2015818414407 2591766532809 6047455243221 18142365729663