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12357727729 is a prime number
BaseRepresentation
bin10111000001001001…
…11111010111110001
31011220020020121112121
423200210333113301
5200302034241404
65402124554241
7615143644504
oct134044772761
934806217477
1012357727729
115271684826
12248a6b2981
13121c2c5239
1485333b13b
154c4d83e54
hex2e093f5f1

12357727729 has 2 divisors, whose sum is σ = 12357727730. Its totient is φ = 12357727728.

The previous prime is 12357727727. The next prime is 12357727763. The reversal of 12357727729 is 92772775321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7546918129 + 4810809600 = 86873^2 + 69360^2 .

It is a cyclic number.

It is not a de Polignac number, because 12357727729 - 21 = 12357727727 is a prime.

Together with 12357727727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12357727727) 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, 6178863864 + 6178863865.

It is an arithmetic number, because the mean of its divisors is an integer number (6178863865).

Almost surely, 212357727729 is an apocalyptic number.

It is an amenable number.

12357727729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12357727729 is an equidigital number, since it uses as much as digits as its factorization.

12357727729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2593080, while the sum is 52.

The spelling of 12357727729 in words is "twelve billion, three hundred fifty-seven million, seven hundred twenty-seven thousand, seven hundred twenty-nine".