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218031145785 = 3254845136573
BaseRepresentation
bin1100101100001110101…
…0110100001100111001
3202211202222001210111200
43023003222310030321
512033011433131120
6244055004044413
721516005106105
oct3130352641471
9684688053450
10218031145785
1184514996982
123630a233709
1317738b360cb
14a7a4ad8905
155a11430e90
hex32c3ab4339

218031145785 has 12 divisors (see below), whose sum is σ = 377920652772. Its totient is φ = 116283277728.

The previous prime is 218031145781. The next prime is 218031145807. The reversal of 218031145785 is 587541130812.

218031145785 is a `hidden beast` number, since 2 + 180 + 3 + 11 + 457 + 8 + 5 = 666.

218031145785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 148973612841 + 69057532944 = 385971^2 + 262788^2 .

It is not a de Polignac number, because 218031145785 - 22 = 218031145781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4845136573 = 218031145785 / (2 + 1 + 8 + 0 + 3 + 1 + 1 + 4 + 5 + 7 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 218031145785.

It is not an unprimeable number, because it can be changed into a prime (218031145781) 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 11 ways as a sum of consecutive naturals, for example, 2422568242 + ... + 2422568331.

It is an arithmetic number, because the mean of its divisors is an integer number (31493387731).

Almost surely, 2218031145785 is an apocalyptic number.

It is an amenable number.

218031145785 is a deficient number, since it is larger than the sum of its proper divisors (159889506987).

218031145785 is a wasteful number, since it uses less digits than its factorization.

218031145785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845136584 (or 4845136581 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 218031145785 in words is "two hundred eighteen billion, thirty-one million, one hundred forty-five thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 45 4845136573 14535409719 24225682865 43606229157 72677048595 218031145785