Search a number
-
+
16917750973 is a prime number
BaseRepresentation
bin11111100000110000…
…00110010010111101
31121200000201210110101
433300120012102331
5234121421012343
611434422041101
71136144340064
oct176030062275
947600653411
1016917750973
1171a16a1782
123341879191
131797c56446
14b66bcd1db
1569037be4d
hex3f06064bd

16917750973 has 2 divisors, whose sum is σ = 16917750974. Its totient is φ = 16917750972.

The previous prime is 16917750961. The next prime is 16917750977. The reversal of 16917750973 is 37905771961.

16917750973 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., 11933814564 + 4983936409 = 109242^2 + 70597^2 .

It is an emirp because it is prime and its reverse (37905771961) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16917750973 - 213 = 16917742781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16917750977) 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, 8458875486 + 8458875487.

It is an arithmetic number, because the mean of its divisors is an integer number (8458875487).

Almost surely, 216917750973 is an apocalyptic number.

It is an amenable number.

16917750973 is a deficient number, since it is larger than the sum of its proper divisors (1).

16917750973 is an equidigital number, since it uses as much as digits as its factorization.

16917750973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2500470, while the sum is 55.

The spelling of 16917750973 in words is "sixteen billion, nine hundred seventeen million, seven hundred fifty thousand, nine hundred seventy-three".