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58344844417 is a prime number
BaseRepresentation
bin110110010101100111…
…111010110010000001
312120121011010012010121
4312111213322302001
51423442240010132
642445300300241
74133560665136
oct662547726201
9176534105117
1058344844417
1122820164192
12b3836a1681
13566a8824a2
142b76b2258d
1517b72ab497
hexd959fac81

58344844417 has 2 divisors, whose sum is σ = 58344844418. Its totient is φ = 58344844416.

The previous prime is 58344844379. The next prime is 58344844433. The reversal of 58344844417 is 71444844385.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58123905921 + 220938496 = 241089^2 + 14864^2 .

It is a cyclic number.

It is not a de Polignac number, because 58344844417 - 215 = 58344811649 is a prime.

It is not a weakly prime, because it can be changed into another prime (58344844457) 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, 29172422208 + 29172422209.

It is an arithmetic number, because the mean of its divisors is an integer number (29172422209).

Almost surely, 258344844417 is an apocalyptic number.

It is an amenable number.

58344844417 is a deficient number, since it is larger than the sum of its proper divisors (1).

58344844417 is an equidigital number, since it uses as much as digits as its factorization.

58344844417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6881280, while the sum is 52.

The spelling of 58344844417 in words is "fifty-eight billion, three hundred forty-four million, eight hundred forty-four thousand, four hundred seventeen".