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27692746001 is a prime number
BaseRepresentation
bin11001110010100111…
…011100010100010001
32122110221210020220022
4121302213130110101
5423203320333001
620415531353225
72000152312544
oct316247342421
978427706808
1027692746001
1110820918a48
12544a2b2815
1327c438024b
1414a9c4c85b
15ac12c311b
hex6729dc511

27692746001 has 2 divisors, whose sum is σ = 27692746002. Its totient is φ = 27692746000.

The previous prime is 27692745953. The next prime is 27692746049. The reversal of 27692746001 is 10064729672.

It is a balanced prime because it is at equal distance from previous prime (27692745953) and next prime (27692746049).

It can be written as a sum of positive squares in only one way, i.e., 26365965376 + 1326780625 = 162376^2 + 36425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27692746001 is a prime.

It is not a weakly prime, because it can be changed into another prime (27692746801) 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, 13846373000 + 13846373001.

It is an arithmetic number, because the mean of its divisors is an integer number (13846373001).

Almost surely, 227692746001 is an apocalyptic number.

It is an amenable number.

27692746001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27692746001 is an equidigital number, since it uses as much as digits as its factorization.

27692746001 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 44.

The spelling of 27692746001 in words is "twenty-seven billion, six hundred ninety-two million, seven hundred forty-six thousand, one".