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57685836973 is a prime number
BaseRepresentation
bin110101101110010110…
…000000010010101101
312111220020002010212111
4311232112000102231
51421120033240343
642300035404021
74111336344502
oct655626002255
9174806063774
1057685836973
1122512173136
12b21aa53611
13559419665b
142b133b94a9
1517794d4c9d
hexd6e5804ad

57685836973 has 2 divisors, whose sum is σ = 57685836974. Its totient is φ = 57685836972.

The previous prime is 57685836937. The next prime is 57685836991. The reversal of 57685836973 is 37963858675.

Together with previous prime (57685836937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52341203524 + 5344633449 = 228782^2 + 73107^2 .

It is a cyclic number.

It is not a de Polignac number, because 57685836973 - 233 = 49095902381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57685836899 and 57685836908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57685836073) 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, 28842918486 + 28842918487.

It is an arithmetic number, because the mean of its divisors is an integer number (28842918487).

Almost surely, 257685836973 is an apocalyptic number.

It is an amenable number.

57685836973 is a deficient number, since it is larger than the sum of its proper divisors (1).

57685836973 is an equidigital number, since it uses as much as digits as its factorization.

57685836973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 228614400, while the sum is 67.

The spelling of 57685836973 in words is "fifty-seven billion, six hundred eighty-five million, eight hundred thirty-six thousand, nine hundred seventy-three".