Search a number
-
+
967966967453 is a prime number
BaseRepresentation
bin11100001010111110101…
…00111100011010011101
310102112111021121202202012
432011133110330122131
5111324344020424303
62020402231241005
7126635060316413
oct16053724743235
93375437552665
10967966967453
11343570133482
12137722219165
1370381962005
1434bc7dc52b3
151a2a44025d8
hexe15f53c69d

967966967453 has 2 divisors, whose sum is σ = 967966967454. Its totient is φ = 967966967452.

The previous prime is 967966967449. The next prime is 967966967483. The reversal of 967966967453 is 354769669769.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 626849060644 + 341117906809 = 791738^2 + 584053^2 .

It is an emirp because it is prime and its reverse (354769669769) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 967966967453 - 22 = 967966967449 is a prime.

It is a super-2 number, since 2×9679669674532 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967966967483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483983483726 + 483983483727.

It is an arithmetic number, because the mean of its divisors is an integer number (483983483727).

Almost surely, 2967966967453 is an apocalyptic number.

It is an amenable number.

967966967453 is a deficient number, since it is larger than the sum of its proper divisors (1).

967966967453 is an equidigital number, since it uses as much as digits as its factorization.

967966967453 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2777664960, while the sum is 77.

The spelling of 967966967453 in words is "nine hundred sixty-seven billion, nine hundred sixty-six million, nine hundred sixty-seven thousand, four hundred fifty-three".