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127405541377 is a prime number
BaseRepresentation
bin111011010100111110…
…1100100100000000001
3110011212010000002110201
41312221331210200001
54041411304311002
6134310154525201
712130141143022
oct1665175444001
9404763002421
10127405541377
114a03a119a54
1220837a36801
13c025521c0a
146248aaac49
1534aa1ca087
hex1da9f64801

127405541377 has 2 divisors, whose sum is σ = 127405541378. Its totient is φ = 127405541376.

The previous prime is 127405541321. The next prime is 127405541383. The reversal of 127405541377 is 773145504721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118534915521 + 8870625856 = 344289^2 + 94184^2 .

It is a cyclic number.

It is not a de Polignac number, because 127405541377 - 211 = 127405539329 is a prime.

It is a super-2 number, since 2×1274055413772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127405541477) 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, 63702770688 + 63702770689.

It is an arithmetic number, because the mean of its divisors is an integer number (63702770689).

Almost surely, 2127405541377 is an apocalyptic number.

It is an amenable number.

127405541377 is a deficient number, since it is larger than the sum of its proper divisors (1).

127405541377 is an equidigital number, since it uses as much as digits as its factorization.

127405541377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 823200, while the sum is 46.

The spelling of 127405541377 in words is "one hundred twenty-seven billion, four hundred five million, five hundred forty-one thousand, three hundred seventy-seven".