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11757105683 is a prime number
BaseRepresentation
bin10101111001100011…
…10011001000010011
31010100101001211222122
422330301303020103
5143034304340213
65222351324455
7564231515021
oct127461631023
933311054878
1011757105683
114a93641574
12234152072b
131154a3c48b
147d7671711
1548c291d08
hex2bcc73213

11757105683 has 2 divisors, whose sum is σ = 11757105684. Its totient is φ = 11757105682.

The previous prime is 11757105649. The next prime is 11757105713. The reversal of 11757105683 is 38650175711.

11757105683 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11757105683 - 28 = 11757105427 is a prime.

It is a super-5 number, since 5×117571056835 (a number of 52 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (11757105083) 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, 5878552841 + 5878552842.

It is an arithmetic number, because the mean of its divisors is an integer number (5878552842).

Almost surely, 211757105683 is an apocalyptic number.

11757105683 is a deficient number, since it is larger than the sum of its proper divisors (1).

11757105683 is an equidigital number, since it uses as much as digits as its factorization.

11757105683 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 44.

The spelling of 11757105683 in words is "eleven billion, seven hundred fifty-seven million, one hundred five thousand, six hundred eighty-three".