Search a number
-
+
16124736673 is a prime number
BaseRepresentation
bin11110000010001101…
…11111010010100001
31112121202112111100101
433001012333102201
5231010413033143
611224013022401
71110405000043
oct170106772241
945552474311
1016124736673
116924aa2361
123160184a01
13169c87b106
14acd761a93
15645934b4d
hex3c11bf4a1

16124736673 has 2 divisors, whose sum is σ = 16124736674. Its totient is φ = 16124736672.

The previous prime is 16124736647. The next prime is 16124736709. The reversal of 16124736673 is 37663742161.

16124736673 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., 11322662464 + 4802074209 = 106408^2 + 69297^2 .

It is a cyclic number.

It is not a de Polignac number, because 16124736673 - 29 = 16124736161 is a prime.

It is a super-2 number, since 2×161247366732 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (16124734673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8062368336 + 8062368337.

It is an arithmetic number, because the mean of its divisors is an integer number (8062368337).

Almost surely, 216124736673 is an apocalyptic number.

It is an amenable number.

16124736673 is a deficient number, since it is larger than the sum of its proper divisors (1).

16124736673 is an equidigital number, since it uses as much as digits as its factorization.

16124736673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 46.

The spelling of 16124736673 in words is "sixteen billion, one hundred twenty-four million, seven hundred thirty-six thousand, six hundred seventy-three".