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52511524140114 = 232131512396218189
BaseRepresentation
bin10111111000010010010101…
…01111100011010001010010
320212221001102101220210122200
423330021022233203101102
523340322100134440424
6303403243335544030
714026555343366634
oct1374111257432122
9225831371823580
1052511524140114
111580601544a406
125a8110322b016
13233ba7a7b7520
14cd77dda28a54
15610e2a3458c9
hex2fc24abe3452

52511524140114 has 96 divisors (see below), whose sum is σ = 123854405875200. Its totient is φ = 15983230435200.

The previous prime is 52511524140109. The next prime is 52511524140133. The reversal of 52511524140114 is 41104142511525.

52511524140114 is a `hidden beast` number, since 5 + 2 + 5 + 1 + 1 + 5 + 241 + 401 + 1 + 4 = 666.

52511524140114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5335732 + ... + 11553920.

It is an arithmetic number, because the mean of its divisors is an integer number (1290150061200).

Almost surely, 252511524140114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52511524140114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61927202937600).

52511524140114 is an abundant number, since it is smaller than the sum of its proper divisors (71342881735086).

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

52511524140114 is a wasteful number, since it uses less digits than its factorization.

52511524140114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218600 (or 6218597 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 52511524140114 its reverse (41104142511525), we get a palindrome (93615666651639).

The spelling of 52511524140114 in words is "fifty-two trillion, five hundred eleven billion, five hundred twenty-four million, one hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 239 302 453 478 717 906 1359 1434 1963 2151 2718 3107 3926 4302 5889 6214 9321 11778 17667 18642 27963 35334 36089 55926 72178 108267 216534 324801 469157 649602 938314 1407471 2814942 4222413 6218189 8444826 12436378 18654567 37309134 55963701 80836457 111927402 161672914 242509371 485018742 727528113 938946539 1455056226 1486147171 1877893078 2816839617 2972294342 4458441513 5633679234 8450518851 8916883026 12206305007 13375324539 16901037702 19319913223 24412610014 26750649078 36618915021 38639826446 57959739669 73237830042 109856745063 115919479338 173879219007 219713490126 224408222821 347758438014 448816445642 673224668463 1346449336926 2019674005389 2917306896673 4039348010778 5834613793346 8751920690019 17503841380038 26255762070057 52511524140114