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27728761457 is a prime number
BaseRepresentation
bin11001110100110000…
…110101001001110001
32122120110120000211002
4121310300311021301
5423242030331312
620423255331345
72001100404065
oct316460651161
978513500732
1027728761457
111083a187991
12545a380b55
1327cb980277
1414b0945aa5
15ac45394c2
hex674c35271

27728761457 has 2 divisors, whose sum is σ = 27728761458. Its totient is φ = 27728761456.

The previous prime is 27728761453. The next prime is 27728761471. The reversal of 27728761457 is 75416782772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26515562896 + 1213198561 = 162836^2 + 34831^2 .

It is a cyclic number.

It is not a de Polignac number, because 27728761457 - 22 = 27728761453 is a prime.

It is not a weakly prime, because it can be changed into another prime (27728761453) 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, 13864380728 + 13864380729.

It is an arithmetic number, because the mean of its divisors is an integer number (13864380729).

Almost surely, 227728761457 is an apocalyptic number.

It is an amenable number.

27728761457 is a deficient number, since it is larger than the sum of its proper divisors (1).

27728761457 is an equidigital number, since it uses as much as digits as its factorization.

27728761457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9219840, while the sum is 56.

The spelling of 27728761457 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred sixty-one thousand, four hundred fifty-seven".