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52033241256256 = 26131732267159463
BaseRepresentation
bin10111101010010111011101…
…10111001001000101000000
320211020022220001021220012001
423311023232313021011000
523310003034230200011
6302355424021513344
713650164140064551
oct1365135667110500
9224208801256161
1052033241256256
11156411a0204787
125a04483272854
132305937a04540
14cbc5cab8a328
156037860b37c1
hex2f52eedc9140

52033241256256 has 112 divisors (see below), whose sum is σ = 111888823906944. Its totient is φ = 23865843234816.

The previous prime is 52033241256253. The next prime is 52033241256319. The reversal of 52033241256256 is 65265214233025.

52033241256256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52033241256251) by changing a digit.

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, 326223181 + ... + 326382643.

It is an arithmetic number, because the mean of its divisors is an integer number (999007356312).

Almost surely, 252033241256256 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 52033241256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944411953472).

52033241256256 is an abundant number, since it is smaller than the sum of its proper divisors (59855582650688).

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

52033241256256 is a wasteful number, since it uses less digits than its factorization.

52033241256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161928 (or 161918 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 52033241256256 in words is "fifty-two trillion, thirty-three billion, two hundred forty-one million, two hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 173 208 346 416 692 832 1384 2249 2267 2768 4498 4534 5536 8996 9068 11072 17992 18136 29471 35984 36272 58942 71968 72544 117884 143936 145088 159463 235768 318926 392191 471536 637852 784382 943072 1275704 1568764 1886144 2073019 2551408 3137528 4146038 5098483 5102816 6275056 8292076 10196966 10205632 12550112 16584152 20393932 25100224 27587099 33168304 40787864 55174198 66336608 81575728 110348396 132673216 163151456 220696792 326302912 358632287 361502621 441393584 717264574 723005242 882787168 1434529148 1446010484 1765574336 2869058296 2892020968 4699534073 5738116592 5784041936 9399068146 11476233184 11568083872 18798136292 22952466368 23136167744 37596272584 62539953433 75192545168 125079906866 150385090336 250159813732 300770180672 500319627464 813019394629 1000639254928 1626038789258 2001278509856 3252077578516 4002557019712 6504155157032 13008310314064 26016620628128 52033241256256