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12724566973 is a prime number
BaseRepresentation
bin10111101100111000…
…10111101110111101
31012211210111222101021
423312130113232331
5202024442120343
65502351344141
7630220014616
oct136634275675
935753458337
1012724566973
11543a760558
122571522051
13127a2c5c91
14889d4cc0d
154e71970ed
hex2f6717bbd

12724566973 has 2 divisors, whose sum is σ = 12724566974. Its totient is φ = 12724566972.

The previous prime is 12724566919. The next prime is 12724566979. The reversal of 12724566973 is 37966542721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7024618969 + 5699948004 = 83813^2 + 75498^2 .

It is a cyclic number.

It is not a de Polignac number, because 12724566973 - 29 = 12724566461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12724566973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12724566979) 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, 6362283486 + 6362283487.

It is an arithmetic number, because the mean of its divisors is an integer number (6362283487).

Almost surely, 212724566973 is an apocalyptic number.

It is an amenable number.

12724566973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12724566973 is an equidigital number, since it uses as much as digits as its factorization.

12724566973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3810240, while the sum is 52.

The spelling of 12724566973 in words is "twelve billion, seven hundred twenty-four million, five hundred sixty-six thousand, nine hundred seventy-three".