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27103366161 = 32548772
BaseRepresentation
bin11001001111011111…
…001000110000010001
32120221212202122202100
4121033133020300101
5421001430204121
620241235111013
71646434545144
oct311737106021
976855678670
1027103366161
1110549164173
125304a42469
13272c232591
14145186c05b
15a896a2026
hex64f7c8c11

27103366161 has 9 divisors (see below), whose sum is σ = 39150020091. Its totient is φ = 18068581512.

The previous prime is 27103366079. The next prime is 27103366187. The reversal of 27103366161 is 16166330172.

The square root of 27103366161 is 164631.

It is a perfect power (a square), and thus also a powerful number.

27103366161 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 3 + 36 + 616 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26864849025 + 238517136 = 163905^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27103366161 - 29 = 27103365649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27103366861) 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 8 ways as a sum of consecutive naturals, for example, 466455 + ... + 521331.

Almost surely, 227103366161 is an apocalyptic number.

27103366161 is the 164631-st square number.

27103366161 is the 82316-th centered octagonal number.

It is an amenable number.

27103366161 is a deficient number, since it is larger than the sum of its proper divisors (12046653930).

27103366161 is an frugal number, since it uses more digits than its factorization.

27103366161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109760 (or 54880 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 27103366161 by its sum of digits (36), we get a square (975721181796 = 9877862).

The spelling of 27103366161 in words is "twenty-seven billion, one hundred three million, three hundred sixty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 54877 164631 493893 3011485129 9034455387 27103366161