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52738056864 = 25321792693803
BaseRepresentation
bin110001000111011011…
…101110001010100000
312001010101221212112100
4301013123232022200
51331001420304424
640121051330400
73544620041553
oct610733561240
9161111855470
1052738056864
1120403292769
12a279a50a00
134c860bc70c
1427a422c69a
151589e45dc9
hexc476ee2a0

52738056864 has 144 divisors (see below), whose sum is σ = 151412133600. Its totient is φ = 17411578368.

The previous prime is 52738056823. The next prime is 52738056883. The reversal of 52738056864 is 46865083725.

52738056864 is a `hidden beast` number, since 5 + 2 + 73 + 8 + 0 + 568 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 52738056864.

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 23 ways as a sum of consecutive naturals, for example, 13865587 + ... + 13869389.

It is an arithmetic number, because the mean of its divisors is an integer number (1051473150).

Almost surely, 252738056864 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 52738056864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75706066800).

52738056864 is an abundant number, since it is smaller than the sum of its proper divisors (98674076736).

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

52738056864 is a wasteful number, since it uses less digits than its factorization.

52738056864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 52738056864 in words is "fifty-two billion, seven hundred thirty-eight million, fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 269 288 358 537 538 716 807 1074 1076 1432 1611 1614 2148 2152 2421 2864 3222 3228 3803 4296 4304 4842 5728 6444 6456 7606 8592 8608 9684 11409 12888 12912 15212 17184 19368 22818 25776 25824 30424 34227 38736 45636 48151 51552 60848 68454 77472 91272 96302 121696 136908 144453 182544 192604 273816 288906 365088 385208 433359 547632 577812 680737 770416 866718 1023007 1095264 1155624 1361474 1540832 1733436 2042211 2046014 2311248 2722948 3069021 3466872 4084422 4092028 4622496 5445896 6126633 6138042 6933744 8168844 8184056 9207063 10891792 12253266 12276084 13867488 16337688 16368112 18414126 21783584 24506532 24552168 32675376 32736224 36828252 49013064 49104336 65350752 73656504 98026128 98208672 147313008 183118253 196052256 294626016 366236506 549354759 732473012 1098709518 1464946024 1648064277 2197419036 2929892048 3296128554 4394838072 5859784096 6592257108 8789676144 13184514216 17579352288 26369028432 52738056864