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27666161271 = 32723137139367
BaseRepresentation
bin11001110001000010…
…000001111001110111
32122102002202121111200
4121301002001321313
5423130014130041
620413141503543
71666410330210
oct316102017167
978362677450
1027666161271
11108079104a1
125441411bb3
1327bba02938
1414a64cc407
15abdcc11b6
hex671081e77

27666161271 has 48 divisors (see below), whose sum is σ = 48005028864. Its totient is φ = 15011390592.

The previous prime is 27666161251. The next prime is 27666161287. The reversal of 27666161271 is 17216166672.

It is not a de Polignac number, because 27666161271 - 25 = 27666161239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27666161251) 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 47 ways as a sum of consecutive naturals, for example, 128830 + ... + 268196.

It is an arithmetic number, because the mean of its divisors is an integer number (1000104768).

Almost surely, 227666161271 is an apocalyptic number.

27666161271 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27666161271 is a deficient number, since it is larger than the sum of its proper divisors (20338867593).

27666161271 is a wasteful number, since it uses less digits than its factorization.

27666161271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139540 (or 139537 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 27666161271 in words is "twenty-seven billion, six hundred sixty-six million, one hundred sixty-one thousand, two hundred seventy-one".

Divisors: 1 3 7 9 21 23 63 69 137 161 207 411 483 959 1233 1449 2877 3151 8631 9453 22057 28359 66171 139367 198513 418101 975569 1254303 2926707 3205441 8780121 9616323 19093279 22438087 28848969 57279837 67314261 133652953 171839511 201942783 400958859 439145417 1202876577 1317436251 3074017919 3952308753 9222053757 27666161271