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38206482975 = 3552171919471
BaseRepresentation
bin100011100101010010…
…001010101000011111
310122121200020102200000
4203211102022220133
51111221324423400
625315105305343
72521535514123
oct434522125037
9118550212600
1038206482975
1115226622171
1274a3335253
1337ab62229b
141bc6301583
15ed930e600
hex8e548aa1f

38206482975 has 144 divisors (see below), whose sum is σ = 79099937280. Its totient is φ = 18167846400.

The previous prime is 38206482953. The next prime is 38206482989. The reversal of 38206482975 is 57928460283.

It is not a de Polignac number, because 38206482975 - 25 = 38206482943 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 1952490 + ... + 1971960.

It is an arithmetic number, because the mean of its divisors is an integer number (549305120).

Almost surely, 238206482975 is an apocalyptic number.

38206482975 is an abundant number, since it is smaller than the sum of its proper divisors (40893454305).

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

38206482975 is a wasteful number, since it uses less digits than its factorization.

38206482975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19532 (or 19515 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38206482975 in words is "thirty-eight billion, two hundred six million, four hundred eighty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 17 19 25 27 45 51 57 75 81 85 95 135 153 171 225 243 255 285 323 405 425 459 475 513 675 765 855 969 1215 1275 1377 1425 1539 1615 2025 2295 2565 2907 3825 4131 4275 4617 4845 6075 6885 7695 8075 8721 11475 12825 14535 19471 20655 23085 24225 26163 34425 38475 43605 58413 72675 78489 97355 103275 115425 130815 175239 218025 292065 331007 369949 392445 486775 525717 654075 876195 993021 1109847 1460325 1577151 1655035 1849745 1962225 2628585 2979063 3329541 4380975 4731453 4965105 5549235 6289133 7885755 8275175 8937189 9248725 9988623 13142925 14895315 16647705 18867399 23657265 24825525 26811567 27746175 29965869 31445665 39428775 44685945 49943115 56602197 74476575 80434701 83238525 89897607 94336995 118286325 134057835 149829345 157228325 169806591 223429725 249715575 283010985 402173505 449488035 471684975 509419773 670289175 749146725 849032955 1415054925 1528259319 2010867525 2247440175 2547098865 4245164775 7641296595 12735494325 38206482975