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52132021332255 = 32541946314594093
BaseRepresentation
bin10111101101001111011101…
…00111001110100100011111
320211120202212012102200022100
423312213232213032210133
523313112334430113010
6302513041525420143
713660262041633404
oct1366475647164437
9224522765380270
1052132021332255
111567a07aa65927
125a1b65056a653
13231204a864b57
14cc32bbbb22ab
156061181792c0
hex2f69ee9ce91f

52132021332255 has 96 divisors (see below), whose sum is σ = 90857873433600. Its totient is φ = 27651751674624.

The previous prime is 52132021332247. The next prime is 52132021332299. The reversal of 52132021332255 is 55223312023125.

52132021332255 is a `hidden beast` number, since 5 + 2 + 1 + 320 + 2 + 1 + 3 + 322 + 5 + 5 = 666.

52132021332255 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52132021332255 - 23 = 52132021332247 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 (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12736870989 + ... + 12736875081.

It is an arithmetic number, because the mean of its divisors is an integer number (946436181600).

Almost surely, 252132021332255 is an apocalyptic number.

52132021332255 is a deficient number, since it is larger than the sum of its proper divisors (38725852101345).

52132021332255 is a wasteful number, since it uses less digits than its factorization.

52132021332255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 52132021332255 in words is "fifty-two trillion, one hundred thirty-two billion, twenty-one million, three hundred thirty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 45 419 463 1257 1389 1459 2095 2315 3771 4093 4167 4377 6285 6945 7295 12279 13131 18855 20465 20835 21885 36837 61395 65655 184185 193997 581991 611321 675517 969985 1714967 1745973 1833963 1895059 2026551 2909955 3056605 3377585 5144901 5501889 5685177 5971687 6079653 8574835 8729865 9169815 9475295 10132755 15434703 17055531 17915061 25724505 27509445 28425885 29858435 30398265 53745183 77173515 85277655 89575305 268725915 283041623 794029721 849124869 1415208115 2382089163 2502136853 2547374607 2764891081 3970148605 4245624345 7146267489 7506410559 8294673243 11910445815 12510684265 12736873035 13824455405 22519231677 24884019729 35731337445 37532052795 41473366215 112596158385 124420098645 1158489362939 3475468088817 5792446814695 10426404266451 17377340444085 52132021332255