Search a number
-
+
16442663753977 is a prime number
BaseRepresentation
bin1110111101000101101100…
…1000011101100011111001
32011012220101111201102201121
43233101123020131203321
54123344033410111402
654545353324345241
73314641351602046
oct357213310354371
964186344642647
1016442663753977
11526a32703667a
121a168469a5221
139236c8a11696
1440bb873681cd
151d7aa1081837
hexef45b21d8f9

16442663753977 has 2 divisors, whose sum is σ = 16442663753978. Its totient is φ = 16442663753976.

The previous prime is 16442663753969. The next prime is 16442663754007. The reversal of 16442663753977 is 77935736624461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8221690287801 + 8220973466176 = 2867349^2 + 2867224^2 .

It is an emirp because it is prime and its reverse (77935736624461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16442663753977 - 23 = 16442663753969 is a prime.

It is a super-3 number, since 3×164426637539773 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (16442663753377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8221331876988 + 8221331876989.

It is an arithmetic number, because the mean of its divisors is an integer number (8221331876989).

Almost surely, 216442663753977 is an apocalyptic number.

It is an amenable number.

16442663753977 is a deficient number, since it is larger than the sum of its proper divisors (1).

16442663753977 is an equidigital number, since it uses as much as digits as its factorization.

16442663753977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960180480, while the sum is 70.

The spelling of 16442663753977 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-three million, seven hundred fifty-three thousand, nine hundred seventy-seven".