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148527787725841 is a prime number
BaseRepresentation
bin100001110001010111010010…
…000001101101010000010001
3201110220010011220100101110011
4201301113102001231100101
5123431434402124211331
61243520420153434521
743166531016663646
oct4161272201552021
9643803156311404
10148527787725841
1143364310072657
12147a981b70ba41
1364b51583a9344
142896ad7483dcd
15122883686a3b1
hex8715d206d411

148527787725841 has 2 divisors, whose sum is σ = 148527787725842. Its totient is φ = 148527787725840.

The previous prime is 148527787725803. The next prime is 148527787725857.

148527787725841 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122086389631441 + 26441398094400 = 11049271^2 + 5142120^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 148527787725841 - 215 = 148527787693073 is a prime.

It is not a weakly prime, because it can be changed into another prime (148527787725871) 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, 74263893862920 + 74263893862921.

It is an arithmetic number, because the mean of its divisors is an integer number (74263893862921).

Almost surely, 2148527787725841 is an apocalyptic number.

It is an amenable number.

148527787725841 is a deficient number, since it is larger than the sum of its proper divisors (1).

148527787725841 is an equidigital number, since it uses as much as digits as its factorization.

148527787725841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1966899200, while the sum is 76.

The spelling of 148527787725841 in words is "one hundred forty-eight trillion, five hundred twenty-seven billion, seven hundred eighty-seven million, seven hundred twenty-five thousand, eight hundred forty-one".