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216408033173 is a prime number
BaseRepresentation
bin1100100110001011101…
…1001000011110010101
3202200120211220010120202
43021202323020132111
512021200424030143
6243225543110245
721430535634263
oct3114273103625
9680524803522
10216408033173
11838617693a2
1235b36742385
131753a79a247
14a68d309433
155968bb8ab8
hex3262ec8795

216408033173 has 2 divisors, whose sum is σ = 216408033174. Its totient is φ = 216408033172.

The previous prime is 216408033133. The next prime is 216408033187. The reversal of 216408033173 is 371330804612.

216408033173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142976246884 + 73431786289 = 378122^2 + 270983^2 .

It is a cyclic number.

It is not a de Polignac number, because 216408033173 - 214 = 216408016789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (216408033133) 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, 108204016586 + 108204016587.

It is an arithmetic number, because the mean of its divisors is an integer number (108204016587).

Almost surely, 2216408033173 is an apocalyptic number.

It is an amenable number.

216408033173 is a deficient number, since it is larger than the sum of its proper divisors (1).

216408033173 is an equidigital number, since it uses as much as digits as its factorization.

216408033173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

Adding to 216408033173 its reverse (371330804612), we get a palindrome (587738837785).

The spelling of 216408033173 in words is "two hundred sixteen billion, four hundred eight million, thirty-three thousand, one hundred seventy-three".