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27168261097 is a prime number
BaseRepresentation
bin11001010011010110…
…101100001111101001
32121010101212122212111
4121103112230033221
5421120033323342
620251514042321
71651153260205
oct312326541751
977111778774
1027168261097
111058185874a
1253227193a1
13273c804553
14145a321b05
15a90220217
hex6535ac3e9

27168261097 has 2 divisors, whose sum is σ = 27168261098. Its totient is φ = 27168261096.

The previous prime is 27168261077. The next prime is 27168261143. The reversal of 27168261097 is 79016286172.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18436479961 + 8731781136 = 135781^2 + 93444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27168261097 is a prime.

It is a super-2 number, since 2×271682610972 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27168261097.

It is not a weakly prime, because it can be changed into another prime (27168261037) 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, 13584130548 + 13584130549.

It is an arithmetic number, because the mean of its divisors is an integer number (13584130549).

Almost surely, 227168261097 is an apocalyptic number.

It is an amenable number.

27168261097 is a deficient number, since it is larger than the sum of its proper divisors (1).

27168261097 is an equidigital number, since it uses as much as digits as its factorization.

27168261097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 27168261097 in words is "twenty-seven billion, one hundred sixty-eight million, two hundred sixty-one thousand, ninety-seven".