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27719290657 is a prime number
BaseRepresentation
bin11001110100001100…
…101100111100100001
32122112210201212022201
4121310030230330201
5423232114300112
620422320333201
72000624040322
oct316414547441
978483655281
1027719290657
11108348a9383
125457174201
1327c9a15546
1414ad59c449
15ac37b8257
hex67432cf21

27719290657 has 2 divisors, whose sum is σ = 27719290658. Its totient is φ = 27719290656.

The previous prime is 27719290649. The next prime is 27719290717. The reversal of 27719290657 is 75609291772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26492119696 + 1227170961 = 162764^2 + 35031^2 .

It is a cyclic number.

It is not a de Polignac number, because 27719290657 - 23 = 27719290649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27719290598 and 27719290607.

It is not a weakly prime, because it can be changed into another prime (27719290607) 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, 13859645328 + 13859645329.

It is an arithmetic number, because the mean of its divisors is an integer number (13859645329).

Almost surely, 227719290657 is an apocalyptic number.

It is an amenable number.

27719290657 is a deficient number, since it is larger than the sum of its proper divisors (1).

27719290657 is an equidigital number, since it uses as much as digits as its factorization.

27719290657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 27719290657 in words is "twenty-seven billion, seven hundred nineteen million, two hundred ninety thousand, six hundred fifty-seven".