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27666161301 = 31713115972593
BaseRepresentation
bin11001110001000010…
…000001111010010101
32122102002202121112210
4121301002001322111
5423130014130201
620413141504033
71666410330252
oct316102017225
978362677483
1027666161301
1110807910519
125441412019
1327bba0295c
1414a64cc429
15abdcc11d6
hex671081e95

27666161301 has 32 divisors (see below), whose sum is σ = 39396094848. Its totient is φ = 17209221120.

The previous prime is 27666161297. The next prime is 27666161309. The reversal of 27666161301 is 10316166672.

It is not a de Polignac number, because 27666161301 - 22 = 27666161297 is a prime.

It is a super-2 number, since 2×276661613012 (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 27666161301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27666161309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10668261 + ... + 10670853.

It is an arithmetic number, because the mean of its divisors is an integer number (1231127964).

Almost surely, 227666161301 is an apocalyptic number.

It is an amenable number.

27666161301 is a deficient number, since it is larger than the sum of its proper divisors (11729933547).

27666161301 is a wasteful number, since it uses less digits than its factorization.

27666161301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341.

The product of its (nonzero) digits is 54432, while the sum is 39.

It can be divided in two parts, 276661 and 61301, that multiplied together give a palindrome (16959595961).

The spelling of 27666161301 in words is "twenty-seven billion, six hundred sixty-six million, one hundred sixty-one thousand, three hundred one".

Divisors: 1 3 17 51 131 393 1597 2227 2593 4791 6681 7779 27149 44081 81447 132243 209207 339683 627621 1019049 3556519 4141021 5774611 10669557 12423063 17323833 70397357 211192071 542473751 1627421253 9222053767 27666161301