Search a number
-
+
12416237251757 is a prime number
BaseRepresentation
bin1011010010101110000101…
…1010010010110010101101
31121221222110220220022210222
42310223201122102302231
53111411423214024012
642223535102541125
72421020635201643
oct264534132226255
947858426808728
1012416237251757
113a57773268829
1214864248977a5
136c0acccb20b1
1430cd40431193
15167e95076972
hexb4ae1692cad

12416237251757 has 2 divisors, whose sum is σ = 12416237251758. Its totient is φ = 12416237251756.

The previous prime is 12416237251739. The next prime is 12416237251763. The reversal of 12416237251757 is 75715273261421.

12416237251757 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., 7366414804996 + 5049822446761 = 2714114^2 + 2247181^2 .

It is a cyclic number.

It is not a de Polignac number, because 12416237251757 - 214 = 12416237235373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12416237251699 and 12416237251708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12416237251777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6208118625878 + 6208118625879.

It is an arithmetic number, because the mean of its divisors is an integer number (6208118625879).

Almost surely, 212416237251757 is an apocalyptic number.

It is an amenable number.

12416237251757 is a deficient number, since it is larger than the sum of its proper divisors (1).

12416237251757 is an equidigital number, since it uses as much as digits as its factorization.

12416237251757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4939200, while the sum is 53.

The spelling of 12416237251757 in words is "twelve trillion, four hundred sixteen billion, two hundred thirty-seven million, two hundred fifty-one thousand, seven hundred fifty-seven".