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27998146161 = 323784078517
BaseRepresentation
bin11010000100110100…
…011100111001110001
32200021020110012011100
4122010310130321301
5424320011134121
620510121235013
72010551213166
oct320464347161
980236405140
1027998146161
1110968250677
125514632a69
13284271bcbb
1414d862a06d
15adceec026
hex684d1ce71

27998146161 has 12 divisors (see below), whose sum is σ = 41534787892. Its totient is φ = 18160959456.

The previous prime is 27998146157. The next prime is 27998146181. The reversal of 27998146161 is 16164189972.

27998146161 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 8 + 14 + 616 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15103181025 + 12894965136 = 122895^2 + 113556^2 .

It is not a de Polignac number, because 27998146161 - 22 = 27998146157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27998146098 and 27998146107.

It is not an unprimeable number, because it can be changed into a prime (27998146151) 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 in 11 ways as a sum of consecutive naturals, for example, 42038926 + ... + 42039591.

Almost surely, 227998146161 is an apocalyptic number.

It is an amenable number.

27998146161 is a deficient number, since it is larger than the sum of its proper divisors (13536641731).

27998146161 is a wasteful number, since it uses less digits than its factorization.

27998146161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84078560 (or 84078557 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 27998146161 in words is "twenty-seven billion, nine hundred ninety-eight million, one hundred forty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 37 111 333 84078517 252235551 756706653 3110905129 9332715387 27998146161