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209672736345 = 32553731204289
BaseRepresentation
bin1100001101000101111…
…0000000111001011001
3202001012110020121021200
43003101132000321121
511413402210030340
6240153342224413
721101612565342
oct3032136007131
9661173217250
10209672736345
1180a15880186
1234776b85109
1316a062841c7
14a2109b50c9
1556c273a330
hex30d1780e59

209672736345 has 48 divisors (see below), whose sum is σ = 375362741520. Its totient is φ = 108212502528.

The previous prime is 209672736337. The next prime is 209672736379. The reversal of 209672736345 is 543637276902.

209672736345 is a `hidden beast` number, since 20 + 9 + 6 + 7 + 273 + 6 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2294505801 + 207378230544 = 47901^2 + 455388^2 .

It is not a de Polignac number, because 209672736345 - 23 = 209672736337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 209672736291 and 209672736300.

It is an unprimeable number.

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, 428040 + ... + 776249.

It is an arithmetic number, because the mean of its divisors is an integer number (7820057115).

Almost surely, 2209672736345 is an apocalyptic number.

It is an amenable number.

209672736345 is a deficient number, since it is larger than the sum of its proper divisors (165690005175).

209672736345 is a wasteful number, since it uses less digits than its factorization.

209672736345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204426 (or 1204423 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 209672736345 in words is "two hundred nine billion, six hundred seventy-two million, seven hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 53 73 159 219 265 365 477 657 795 1095 2385 3285 3869 11607 19345 34821 58035 174105 1204289 3612867 6021445 10838601 18064335 54193005 63827317 87913097 191481951 263739291 319136585 439565485 574445853 791217873 957409755 1318696455 2872229265 3956089365 4659394141 13978182423 23296970705 41934547269 69890912115 209672736345