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27728573009 is a prime number
BaseRepresentation
bin11001110100110000…
…000111001001010001
32122120110012110022112
4121310300013021101
5423242003314014
620423251315105
72001065660504
oct316460071121
978513173275
1027728573009
111083a069345
12545a2aba95
1327cb915567
1414b08d713b
15ac44ed73e
hex674c07251

27728573009 has 2 divisors, whose sum is σ = 27728573010. Its totient is φ = 27728573008.

The previous prime is 27728573003. The next prime is 27728573017. The reversal of 27728573009 is 90037582772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23861598784 + 3866974225 = 154472^2 + 62185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27728573009 is a prime.

It is a super-2 number, since 2×277285730092 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27728573003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13864286504 + 13864286505.

It is an arithmetic number, because the mean of its divisors is an integer number (13864286505).

Almost surely, 227728573009 is an apocalyptic number.

It is an amenable number.

27728573009 is a deficient number, since it is larger than the sum of its proper divisors (1).

27728573009 is an equidigital number, since it uses as much as digits as its factorization.

27728573009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 27728573009 in words is "twenty-seven billion, seven hundred twenty-eight million, five hundred seventy-three thousand, nine".