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209047541364 = 2236589712157
BaseRepresentation
bin1100001010110000110…
…1000101011001110100
3201222120212211102000000
43002230031011121310
511411112132310424
6240011330151300
721050251532424
oct3025415053164
9658525742000
10209047541364
1180724983a12
1234621722530
13169368a674c
14a191950484
1556878e23c9
hex30ac345674

209047541364 has 84 divisors (see below), whose sum is σ = 548637020484. Its totient is φ = 69664966272.

The previous prime is 209047541341. The next prime is 209047541389. The reversal of 209047541364 is 463145740902.

209047541364 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 47 + 541 + 3 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97317793764 + 111729747600 = 311958^2 + 334260^2 .

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 17189574 + ... + 17201730.

It is an arithmetic number, because the mean of its divisors is an integer number (6531393101).

Almost surely, 2209047541364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209047541364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274318510242).

209047541364 is an abundant number, since it is smaller than the sum of its proper divisors (339589479120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209047541364 is a wasteful number, since it uses less digits than its factorization.

209047541364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18076 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 209047541364 in words is "two hundred nine billion, forty-seven million, five hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5897 11794 12157 17691 23588 24314 35382 36471 48628 53073 70764 72942 106146 109413 145884 159219 212292 218826 318438 328239 437652 477657 636876 656478 955314 984717 1312956 1432971 1910628 1969434 2865942 2954151 3938868 4298913 5731884 5908302 8597826 8862453 11816604 17195652 17724906 35449812 71689829 143379658 215069487 286759316 430138974 645208461 860277948 1290416922 1935625383 2580833844 3871250766 5806876149 7742501532 11613752298 17420628447 23227504596 34841256894 52261885341 69682513788 104523770682 209047541364