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209975096128 = 2674111431571
BaseRepresentation
bin1100001110001101111…
…1011011001101000000
3202001222112012001221011
43003203133123031000
511420012111034003
6240243343010304
721112243603630
oct3034337331500
9661875161834
10209975096128
11810605165a6
1234840299994
1316a53aca115
14a23cc006c0
1556de06346d
hex30e37db340

209975096128 has 56 divisors (see below), whose sum is σ = 487808040384. Its totient is φ = 87794457600.

The previous prime is 209975096113. The next prime is 209975096141. The reversal of 209975096128 is 821690579902.

209975096128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5697418 + ... + 5734153.

It is an arithmetic number, because the mean of its divisors is an integer number (8710857864).

Almost surely, 2209975096128 is an apocalyptic number.

209975096128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

209975096128 is an abundant number, since it is smaller than the sum of its proper divisors (277832944256).

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

209975096128 is a wasteful number, since it uses less digits than its factorization.

209975096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431631 (or 11431621 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 209975096128 in words is "two hundred nine billion, nine hundred seventy-five million, ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 18368 11431571 22863142 45726284 80020997 91452568 160041994 182905136 320083988 365810272 468694411 640167976 731620544 937388822 1280335952 1874777644 2560671904 3280860877 3749555288 5121343808 6561721754 7499110576 13123443508 14998221152 26246887016 29996442304 52493774032 104987548064 209975096128