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27857740117 is a prime number
BaseRepresentation
bin11001111100011100…
…110110000101010101
32122220110020211021111
4121330130312011111
5424023040140432
620444144015021
72004224612134
oct317434660525
978813224244
1027857740117
11108a5a71519
125495601471
13281c5cbbbc
1414c3b1b91b
15ad0a15347
hex67c736155

27857740117 has 2 divisors, whose sum is σ = 27857740118. Its totient is φ = 27857740116.

The previous prime is 27857740111. The next prime is 27857740123. The reversal of 27857740117 is 71104775872.

It is a balanced prime because it is at equal distance from previous prime (27857740111) and next prime (27857740123).

It can be written as a sum of positive squares in only one way, i.e., 26854687876 + 1003052241 = 163874^2 + 31671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27857740117 is a prime.

It is a super-2 number, since 2×278577401172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27857740111) 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, 13928870058 + 13928870059.

It is an arithmetic number, because the mean of its divisors is an integer number (13928870059).

Almost surely, 227857740117 is an apocalyptic number.

It is an amenable number.

27857740117 is a deficient number, since it is larger than the sum of its proper divisors (1).

27857740117 is an equidigital number, since it uses as much as digits as its factorization.

27857740117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768320, while the sum is 49.

The spelling of 27857740117 in words is "twenty-seven billion, eight hundred fifty-seven million, seven hundred forty thousand, one hundred seventeen".