Search a number
-
+
866788550128973 is a prime number
BaseRepresentation
bin1100010100010101101110111…
…1101000000011010101001101
311012200001011202101122022212102
43011011123233220003111031
51402102430422313111343
612311301055053244445
7350401256212002503
oct30505335750032515
94180034671568772
10866788550128973
11231204a61464a0a
1281271517793725
132b286a6a775a14
1411408b0ac06673
156a3225cc853b8
hex31456efa0354d

866788550128973 has 2 divisors, whose sum is σ = 866788550128974. Its totient is φ = 866788550128972.

The previous prime is 866788550128883. The next prime is 866788550128979. The reversal of 866788550128973 is 379821055887668.

866788550128973 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., 846855513011524 + 19933037117449 = 29100782^2 + 4464643^2 .

It is a cyclic number.

It is not a de Polignac number, because 866788550128973 - 212 = 866788550124877 is a prime.

It is a super-3 number, since 3×8667885501289733 (a number of 46 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 866788550128891 and 866788550128900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (866788550128979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 433394275064486 + 433394275064487.

It is an arithmetic number, because the mean of its divisors is an integer number (433394275064487).

Almost surely, 2866788550128973 is an apocalyptic number.

It is an amenable number.

866788550128973 is a deficient number, since it is larger than the sum of its proper divisors (1).

866788550128973 is an equidigital number, since it uses as much as digits as its factorization.

866788550128973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9754214400, while the sum is 83.

The spelling of 866788550128973 in words is "eight hundred sixty-six trillion, seven hundred eighty-eight billion, five hundred fifty million, one hundred twenty-eight thousand, nine hundred seventy-three".