Search a number
-
+
164016781 is a prime number
BaseRepresentation
bin10011100011010…
…11001010001101
3102102121220201121
421301223022031
5313442014111
624135240541
74031056015
oct1161531215
9372556647
10164016781
1184646265
1246b19151
1327c98b66
1417ad6c45
15e5ec871
hex9c6b28d

164016781 has 2 divisors, whose sum is σ = 164016782. Its totient is φ = 164016780.

The previous prime is 164016757. The next prime is 164016823. The reversal of 164016781 is 187610461.

164016781 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., 146627881 + 17388900 = 12109^2 + 4170^2 .

It is a cyclic number.

It is not a de Polignac number, because 164016781 - 29 = 164016269 is a prime.

It is a super-2 number, since 2×1640167812 = 53803008899203922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164016481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82008390 + 82008391.

It is an arithmetic number, because the mean of its divisors is an integer number (82008391).

Almost surely, 2164016781 is an apocalyptic number.

It is an amenable number.

164016781 is a deficient number, since it is larger than the sum of its proper divisors (1).

164016781 is an equidigital number, since it uses as much as digits as its factorization.

164016781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 164016781 is about 12806.9036460809. The cubic root of 164016781 is about 547.3890364003.

The spelling of 164016781 in words is "one hundred sixty-four million, sixteen thousand, seven hundred eighty-one".