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55364678209 = 172138412
BaseRepresentation
bin110011100011111111…
…011111001001000001
312021220110102001122101
4303203333133021001
51401341324200314
641233441110401
73666663000001
oct634377371101
9167813361571
1055364678209
1121530a10205
12a891628401
1352b4323829
142973000001
151690834174
hexce3fdf241

55364678209 has 9 divisors (see below), whose sum is σ = 58817246761. Its totient is φ = 52104167680.

The previous prime is 55364678071. The next prime is 55364678233. The reversal of 55364678209 is 90287646355.

The square root of 55364678209 is 235297.

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

It can be written as a sum of positive squares in 4 ways, for example, as 642369025 + 54722309184 = 25345^2 + 233928^2 .

It is not a de Polignac number, because 55364678209 - 217 = 55364547137 is a prime.

It is a super-2 number, since 2×553646782092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55364678209.

It is not an unprimeable number, because it can be changed into a prime (55364678249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3993129 + ... + 4006969.

Almost surely, 255364678209 is an apocalyptic number.

55364678209 is the 235297-th square number.

55364678209 is the 117649-th centered octagonal number.

It is an amenable number.

55364678209 is a deficient number, since it is larger than the sum of its proper divisors (3452568552).

55364678209 is an frugal number, since it uses more digits than its factorization.

55364678209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27716 (or 13858 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

It can be divided in two parts, 55364 and 678209, that multiplied together give a square (37548363076 = 1937742).

The spelling of 55364678209 in words is "fifty-five billion, three hundred sixty-four million, six hundred seventy-eight thousand, two hundred nine".

Divisors: 1 17 289 13841 235297 4000049 191573281 3256745777 55364678209