Search a number
-
+
12146699695649 is a prime number
BaseRepresentation
bin1011000011000001111110…
…1110000111011000100001
31121000012202101102210012112
42300300133232013120201
53043002420110230044
641500041121405105
72362366353603131
oct260603756073041
947005671383175
1012146699695649
1139634283504a2
121442141199795
136a15762b131c
142ddc90d14ac1
15160e6bddc09e
hexb0c1fb87621

12146699695649 has 2 divisors, whose sum is σ = 12146699695650. Its totient is φ = 12146699695648.

The previous prime is 12146699695619. The next prime is 12146699695751. The reversal of 12146699695649 is 94659699664121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10607690733025 + 1539008962624 = 3256945^2 + 1240568^2 .

It is a cyclic number.

It is not a de Polignac number, because 12146699695649 - 216 = 12146699630113 is a prime.

It is a super-3 number, since 3×121466996956493 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12146699695649.

It is not a weakly prime, because it can be changed into another prime (12146699695619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073349847824 + 6073349847825.

It is an arithmetic number, because the mean of its divisors is an integer number (6073349847825).

Almost surely, 212146699695649 is an apocalyptic number.

It is an amenable number.

12146699695649 is a deficient number, since it is larger than the sum of its proper divisors (1).

12146699695649 is an equidigital number, since it uses as much as digits as its factorization.

12146699695649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1360488960, while the sum is 77.

The spelling of 12146699695649 in words is "twelve trillion, one hundred forty-six billion, six hundred ninety-nine million, six hundred ninety-five thousand, six hundred forty-nine".