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58882406417 is a prime number
BaseRepresentation
bin110110110101101010…
…100011100000010001
312121222121122011120022
4312311222203200101
51431042344001132
643014502153225
74153106124242
oct666552434021
9177877564508
1058882406417
1122a766464aa
12b4b3722815
135725059503
142bc8294cc9
1517e9593e12
hexdb5aa3811

58882406417 has 2 divisors, whose sum is σ = 58882406418. Its totient is φ = 58882406416.

The previous prime is 58882406413. The next prime is 58882406501. The reversal of 58882406417 is 71460428885.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57600480001 + 1281926416 = 240001^2 + 35804^2 .

It is a cyclic number.

It is not a de Polignac number, because 58882406417 - 22 = 58882406413 is a prime.

It is not a weakly prime, because it can be changed into another prime (58882406413) 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, 29441203208 + 29441203209.

It is an arithmetic number, because the mean of its divisors is an integer number (29441203209).

Almost surely, 258882406417 is an apocalyptic number.

It is an amenable number.

58882406417 is a deficient number, since it is larger than the sum of its proper divisors (1).

58882406417 is an equidigital number, since it uses as much as digits as its factorization.

58882406417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 58882406417 in words is "fifty-eight billion, eight hundred eighty-two million, four hundred six thousand, four hundred seventeen".