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27906416849 is a prime number
BaseRepresentation
bin11001111111010110…
…100010000011010001
32200000211211212012102
4121333112202003101
5424123020314344
620453043210145
72005355425613
oct317726420321
980024755172
1027906416849
1110920499023
1254a9976955
132829712bbc
1414ca38cdb3
15ad4e2ce4e
hex67f5a20d1

27906416849 has 2 divisors, whose sum is σ = 27906416850. Its totient is φ = 27906416848.

The previous prime is 27906416819. The next prime is 27906416891. The reversal of 27906416849 is 94861460972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27136631824 + 769785025 = 164732^2 + 27745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27906416849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27906416794 and 27906416803.

It is not a weakly prime, because it can be changed into another prime (27906416809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13953208424 + 13953208425.

It is an arithmetic number, because the mean of its divisors is an integer number (13953208425).

Almost surely, 227906416849 is an apocalyptic number.

It is an amenable number.

27906416849 is a deficient number, since it is larger than the sum of its proper divisors (1).

27906416849 is an equidigital number, since it uses as much as digits as its factorization.

27906416849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 27906416849 in words is "twenty-seven billion, nine hundred six million, four hundred sixteen thousand, eight hundred forty-nine".