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12506377567 is a prime number
BaseRepresentation
bin10111010010111000…
…00010110101011111
31012021120221210210011
423221130002311133
5201103113040232
65424555024051
7621630312115
oct135134026537
935246853704
1012506377567
115338584632
12251043b027
131244040718
14868d93ab5
154d2e48547
hex2e9702d5f

12506377567 has 2 divisors, whose sum is σ = 12506377568. Its totient is φ = 12506377566.

The previous prime is 12506377529. The next prime is 12506377579. The reversal of 12506377567 is 76577360521.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12506377567 - 219 = 12505853279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12506377567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12506377867) 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, 6253188783 + 6253188784.

It is an arithmetic number, because the mean of its divisors is an integer number (6253188784).

Almost surely, 212506377567 is an apocalyptic number.

12506377567 is a deficient number, since it is larger than the sum of its proper divisors (1).

12506377567 is an equidigital number, since it uses as much as digits as its factorization.

12506377567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1852200, while the sum is 49.

The spelling of 12506377567 in words is "twelve billion, five hundred six million, three hundred seventy-seven thousand, five hundred sixty-seven".