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27753138601 is a prime number
BaseRepresentation
bin11001110110001101…
…110100100110101001
32122122011102111222021
4121312031310212221
5423314300413401
620425530024441
72001514533346
oct316615644651
978564374867
1027753138601
1110851a17891
125466578121
132803a36b06
1414b3c8d7cd
15ac67522a1
hex6763749a9

27753138601 has 2 divisors, whose sum is σ = 27753138602. Its totient is φ = 27753138600.

The previous prime is 27753138527. The next prime is 27753138683. The reversal of 27753138601 is 10683135772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16262370576 + 11490768025 = 127524^2 + 107195^2 .

It is a cyclic number.

It is not a de Polignac number, because 27753138601 - 225 = 27719584169 is a prime.

It is not a weakly prime, because it can be changed into another prime (27753138001) 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, 13876569300 + 13876569301.

It is an arithmetic number, because the mean of its divisors is an integer number (13876569301).

Almost surely, 227753138601 is an apocalyptic number.

It is an amenable number.

27753138601 is a deficient number, since it is larger than the sum of its proper divisors (1).

27753138601 is an equidigital number, since it uses as much as digits as its factorization.

27753138601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 27753138601 in words is "twenty-seven billion, seven hundred fifty-three million, one hundred thirty-eight thousand, six hundred one".