Search a number
-
+
208163970841 is a prime number
BaseRepresentation
bin1100000111011110001…
…0100001111100011001
3201220022022020101002211
43001313202201330121
511402304434031331
6235343524155121
721016332362161
oct3016742417431
9656268211084
10208163970841
1180311153342
1234415838aa1
1316825813258
14a10a46d5a1
15563505d8b1
hex30778a1f19

208163970841 has 2 divisors, whose sum is σ = 208163970842. Its totient is φ = 208163970840.

The previous prime is 208163970829. The next prime is 208163970863. The reversal of 208163970841 is 148079361802.

208163970841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166141020816 + 42022950025 = 407604^2 + 204995^2 .

It is a cyclic number.

It is not a de Polignac number, because 208163970841 - 213 = 208163962649 is a prime.

It is not a weakly prime, because it can be changed into another prime (208163970881) 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 as a sum of consecutive naturals, namely, 104081985420 + 104081985421.

It is an arithmetic number, because the mean of its divisors is an integer number (104081985421).

Almost surely, 2208163970841 is an apocalyptic number.

It is an amenable number.

208163970841 is a deficient number, since it is larger than the sum of its proper divisors (1).

208163970841 is an equidigital number, since it uses as much as digits as its factorization.

208163970841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 208163970841 in words is "two hundred eight billion, one hundred sixty-three million, nine hundred seventy thousand, eight hundred forty-one".