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27984100097 is a prime number
BaseRepresentation
bin11010000011111110…
…110111101100000001
32200020021000120120202
4122003332313230001
5424302412200342
620504500214545
72010320632442
oct320376675401
980207016522
1027984100097
1110960327658
12550b99a455
13283c841915
1414d68112c9
15adbb75332
hex683fb7b01

27984100097 has 2 divisors, whose sum is σ = 27984100098. Its totient is φ = 27984100096.

The previous prime is 27984100091. The next prime is 27984100121. The reversal of 27984100097 is 79000148972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26634566401 + 1349533696 = 163201^2 + 36736^2 .

It is a cyclic number.

It is not a de Polignac number, because 27984100097 - 212 = 27984096001 is a prime.

It is not a weakly prime, because it can be changed into another prime (27984100091) 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, 13992050048 + 13992050049.

It is an arithmetic number, because the mean of its divisors is an integer number (13992050049).

Almost surely, 227984100097 is an apocalyptic number.

It is an amenable number.

27984100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

27984100097 is an equidigital number, since it uses as much as digits as its factorization.

27984100097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 27984100097 in words is "twenty-seven billion, nine hundred eighty-four million, one hundred thousand, ninety-seven".