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6873672961 is a prime number
BaseRepresentation
bin1100110011011001…
…11110110100000001
3122202001000202200001
412121230332310001
5103034130013321
63054022400001
7332223153601
oct63154766401
918661022601
106873672961
112a08011261
1213b9b90001
138570a520c
14492c74c01
152a36b3c91
hex199b3ed01

6873672961 has 2 divisors, whose sum is σ = 6873672962. Its totient is φ = 6873672960.

The previous prime is 6873672947. The next prime is 6873673007. The reversal of 6873672961 is 1692763786.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4841376400 + 2032296561 = 69580^2 + 45081^2 .

It is a cyclic number.

It is not a de Polignac number, because 6873672961 - 217 = 6873541889 is a prime.

It is not a weakly prime, because it can be changed into another prime (6873672361) 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, 3436836480 + 3436836481.

It is an arithmetic number, because the mean of its divisors is an integer number (3436836481).

Almost surely, 26873672961 is an apocalyptic number.

It is an amenable number.

6873672961 is a deficient number, since it is larger than the sum of its proper divisors (1).

6873672961 is an equidigital number, since it uses as much as digits as its factorization.

6873672961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4572288, while the sum is 55.

The square root of 6873672961 is about 82907.6170264228. The cubic root of 6873672961 is about 1901.3538790843.

The spelling of 6873672961 in words is "six billion, eight hundred seventy-three million, six hundred seventy-two thousand, nine hundred sixty-one".