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13827756277 is a prime number
BaseRepresentation
bin11001110000011001…
…01101000011110101
31022200200100210121101
430320030231003311
5211304401200102
610204040450101
7666443663146
oct147014550365
938620323541
1013827756277
115956453a55
12281aa79931
1313c4a2250a
1495267bacd
1555de5ce87
hex33832d0f5

13827756277 has 2 divisors, whose sum is σ = 13827756278. Its totient is φ = 13827756276.

The previous prime is 13827756263. The next prime is 13827756281. The reversal of 13827756277 is 77265772831.

13827756277 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 can be written as a sum of positive squares in only one way, i.e., 12761994961 + 1065761316 = 112969^2 + 32646^2 .

It is a cyclic number.

It is not a de Polignac number, because 13827756277 - 27 = 13827756149 is a prime.

It is a super-2 number, since 2×138277562772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13827756577) 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, 6913878138 + 6913878139.

It is an arithmetic number, because the mean of its divisors is an integer number (6913878139).

Almost surely, 213827756277 is an apocalyptic number.

It is an amenable number.

13827756277 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827756277 is an equidigital number, since it uses as much as digits as its factorization.

13827756277 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6914880, while the sum is 55.

The spelling of 13827756277 in words is "thirteen billion, eight hundred twenty-seven million, seven hundred fifty-six thousand, two hundred seventy-seven".