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18762292961 is a prime number
BaseRepresentation
bin10001011110010100…
…011101111011100001
31210102120120020101022
4101132110131323201
5301411121333321
612341433015225
71232642600366
oct213624357341
953376506338
1018762292961
117a58909445
123777554515
131a001404c9
14c9db7c46d
1574c282dab
hex45e51dee1

18762292961 has 2 divisors, whose sum is σ = 18762292962. Its totient is φ = 18762292960.

The previous prime is 18762292949. The next prime is 18762292973. The reversal of 18762292961 is 16929226781.

It is a balanced prime because it is at equal distance from previous prime (18762292949) and next prime (18762292973).

It can be written as a sum of positive squares in only one way, i.e., 14696955361 + 4065337600 = 121231^2 + 63760^2 .

It is a cyclic number.

It is not a de Polignac number, because 18762292961 - 26 = 18762292897 is a prime.

It is not a weakly prime, because it can be changed into another prime (18762295961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9381146480 + 9381146481.

It is an arithmetic number, because the mean of its divisors is an integer number (9381146481).

Almost surely, 218762292961 is an apocalyptic number.

It is an amenable number.

18762292961 is a deficient number, since it is larger than the sum of its proper divisors (1).

18762292961 is an equidigital number, since it uses as much as digits as its factorization.

18762292961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1306368, while the sum is 53.

The spelling of 18762292961 in words is "eighteen billion, seven hundred sixty-two million, two hundred ninety-two thousand, nine hundred sixty-one".