Search a number
-
+
218584452161 is a prime number
BaseRepresentation
bin1100101110010010100…
…1100000110001000001
3202220012112012200011102
43023210221200301001
512040130104432121
6244225531224145
721535504121165
oct3134451406101
9686175180142
10218584452161
1184779252179
12364435a8055
13177c666352a
14a8183a8ca5
155a44cc890b
hex32e4a60c41

218584452161 has 2 divisors, whose sum is σ = 218584452162. Its totient is φ = 218584452160.

The previous prime is 218584452143. The next prime is 218584452271. The reversal of 218584452161 is 161254485812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187559152561 + 31025299600 = 433081^2 + 176140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218584452161 is a prime.

It is not a weakly prime, because it can be changed into another prime (218584452101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109292226080 + 109292226081.

It is an arithmetic number, because the mean of its divisors is an integer number (109292226081).

Almost surely, 2218584452161 is an apocalyptic number.

It is an amenable number.

218584452161 is a deficient number, since it is larger than the sum of its proper divisors (1).

218584452161 is an equidigital number, since it uses as much as digits as its factorization.

218584452161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 614400, while the sum is 47.

The spelling of 218584452161 in words is "two hundred eighteen billion, five hundred eighty-four million, four hundred fifty-two thousand, one hundred sixty-one".