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52596905198848 = 285979117137643
BaseRepresentation
bin10111111010110001010111…
…10110011100010100000000
320220020012210202102222112021
423331120223312130110000
523343221430212330343
6303510403520211224
714036000225411263
oct1375305366342400
9226205722388467
1052596905198848
111583924987156a
125a95771169b14
132346b366b9c5a
14cdb9bd2d8cda
15613275e3c0ed
hex2fd62bd9c500

52596905198848 has 144 divisors (see below), whose sum is σ = 108214514150400. Its totient is φ = 25502991022080.

The previous prime is 52596905198729. The next prime is 52596905198869. The reversal of 52596905198848 is 84889150969525.

52596905198848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (79).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1397237115 + ... + 1397274757.

It is an arithmetic number, because the mean of its divisors is an integer number (751489681600).

Almost surely, 252596905198848 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 52596905198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54107257075200).

52596905198848 is an abundant number, since it is smaller than the sum of its proper divisors (55617608951552).

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

52596905198848 is a wasteful number, since it uses less digits than its factorization.

52596905198848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38968 (or 38954 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 79.

The spelling of 52596905198848 in words is "fifty-two trillion, five hundred ninety-six billion, nine hundred five million, one hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 59 64 79 118 128 158 236 256 316 472 632 944 1171 1264 1888 2342 2528 3776 4661 4684 5056 7552 9322 9368 10112 15104 18644 18736 20224 37288 37472 37643 69089 74576 74944 75286 92509 138178 149152 149888 150572 185018 276356 298304 299776 301144 370036 552712 596608 602288 740072 1105424 1193216 1204576 1480144 2210848 2220937 2409152 2960288 2973797 4421696 4441874 4818304 5458031 5920576 5947594 8843392 8883748 9636608 10916062 11841152 11895188 17686784 17767496 21832124 23682304 23790376 35534992 43664248 44079953 47580752 71069984 87328496 88159906 95161504 142139968 174656992 175454023 176319812 190323008 284279936 349313984 350908046 352639624 380646016 568559872 698627968 701816092 705279248 761292032 1397255936 1403632184 1410558496 2600717227 2807264368 2821116992 3482316287 5201434454 5614528736 5642233984 6964632574 10402868908 11229057472 11284467968 13929265148 20805737816 22458114944 27858530296 41611475632 44916229888 55717060592 83222951264 111434121184 166445902528 205456660933 222868242368 332891805056 410913321866 445736484736 665783610112 821826643732 891472969472 1643653287464 3287306574928 6574613149856 13149226299712 26298452599424 52596905198848