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27731500541 is a prime number
BaseRepresentation
bin11001110100111011…
…010001110111111101
32122120122201012010122
4121310323101313331
5423243231004131
620423434144325
72001132602543
oct316473216775
978518635118
1027731500541
1110840788898
12545b2820a5
1327cc3cbc24
1414b1059d93
15ac48cad7b
hex674ed1dfd

27731500541 has 2 divisors, whose sum is σ = 27731500542. Its totient is φ = 27731500540.

The previous prime is 27731500513. The next prime is 27731500553. The reversal of 27731500541 is 14500513772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27507549316 + 223951225 = 165854^2 + 14965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27731500541 is a prime.

It is a super-2 number, since 2×277315005412 (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 (27731500441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13865750270 + 13865750271.

It is an arithmetic number, because the mean of its divisors is an integer number (13865750271).

Almost surely, 227731500541 is an apocalyptic number.

It is an amenable number.

27731500541 is a deficient number, since it is larger than the sum of its proper divisors (1).

27731500541 is an equidigital number, since it uses as much as digits as its factorization.

27731500541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 27731500541 in words is "twenty-seven billion, seven hundred thirty-one million, five hundred thousand, five hundred forty-one".