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6678105145209 = 32233236972
BaseRepresentation
bin110000100101101111000…
…0101011011111101111001
3212122102100122000002021100
41201023132011123331321
51333403224404121314
622111513521402013
71256322446100621
oct141133605337571
925572318002240
106678105145209
112145194290633
128ba317a99309
133959866a0454
141913172c3881
15b8aa5c80c09
hex612de15bf79

6678105145209 has 27 divisors (see below), whose sum is σ = 9690350490093. Its totient is φ = 4431763429632.

The previous prime is 6678105145093. The next prime is 6678105145267. The reversal of 6678105145209 is 9025415018766.

It is a happy number.

The square root of 6678105145209 is 2584203.

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

6678105145209 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 105 + 1 + 4 + 520 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3435080439609 + 3243024705600 = 1853397^2 + 1800840^2 .

It is not a de Polignac number, because 6678105145209 - 213 = 6678105137017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6678105145279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1806356049 + ... + 1806359745.

Almost surely, 26678105145209 is an apocalyptic number.

6678105145209 is the 2584203-rd square number.

6678105145209 is the 1292102-nd centered octagonal number.

It is an amenable number.

6678105145209 is a deficient number, since it is larger than the sum of its proper divisors (3012245344884).

6678105145209 is an frugal number, since it uses more digits than its factorization.

6678105145209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 6678105145209 in words is "six trillion, six hundred seventy-eight billion, one hundred five million, one hundred forty-five thousand, two hundred nine".

Divisors: 1 3 9 233 699 2097 3697 11091 33273 54289 162867 488601 861401 2584203 7752609 13667809 41003427 123010281 200706433 602119299 1806357897 3184599497 9553798491 28661395473 742011682801 2226035048403 6678105145209