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27714372165 = 3254349141613
BaseRepresentation
bin11001110011111001…
…111100001001000101
32122112110110222102100
4121303321330021011
5423224334402130
620422023102313
72000534163564
oct316371741105
978473428370
1027714372165
111083204a007
1254555a1999
1327c89b28ac
1414aca7bbdb
15ac3145c60
hex673e7c245

27714372165 has 24 divisors (see below), whose sum is σ = 48049630200. Its totient is φ = 14777495424.

The previous prime is 27714372157. The next prime is 27714372167. The reversal of 27714372165 is 56127341772.

27714372165 is a `hidden beast` number, since 277 + 1 + 4 + 372 + 1 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31069476 + 27683302689 = 5574^2 + 166383^2 .

It is not a de Polignac number, because 27714372165 - 23 = 27714372157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27714372165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27714372167) 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 in 23 ways as a sum of consecutive naturals, for example, 124899 + ... + 266511.

It is an arithmetic number, because the mean of its divisors is an integer number (2002067925).

Almost surely, 227714372165 is an apocalyptic number.

It is an amenable number.

27714372165 is a deficient number, since it is larger than the sum of its proper divisors (20335258035).

27714372165 is a wasteful number, since it uses less digits than its factorization.

27714372165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145973 (or 145970 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 27714372165 in words is "twenty-seven billion, seven hundred fourteen million, three hundred seventy-two thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 4349 13047 21745 39141 65235 141613 195705 424839 708065 1274517 2124195 6372585 615874937 1847624811 3079374685 5542874433 9238124055 27714372165