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11857249841 is a prime number
BaseRepresentation
bin10110000101011111…
…10100011000110001
31010121100111200221112
423002233310120301
5143240423443331
65240330003105
7566555650343
oct130257643061
933540450845
1011857249841
115035121338
12236ab76495
13116c703788
14806a9d293
15495e7432b
hex2c2bf4631

11857249841 has 2 divisors, whose sum is σ = 11857249842. Its totient is φ = 11857249840.

The previous prime is 11857249793. The next prime is 11857249907. The reversal of 11857249841 is 14894275811.

11857249841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8698360225 + 3158889616 = 93265^2 + 56204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11857249841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11857249841.

It is not a weakly prime, because it can be changed into another prime (11857248841) 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, 5928624920 + 5928624921.

It is an arithmetic number, because the mean of its divisors is an integer number (5928624921).

Almost surely, 211857249841 is an apocalyptic number.

It is an amenable number.

11857249841 is a deficient number, since it is larger than the sum of its proper divisors (1).

11857249841 is an equidigital number, since it uses as much as digits as its factorization.

11857249841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 645120, while the sum is 50.

The spelling of 11857249841 in words is "eleven billion, eight hundred fifty-seven million, two hundred forty-nine thousand, eight hundred forty-one".