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52359965394560 = 2753110132605243
BaseRepresentation
bin10111110011111000000010…
…01000110100011010000000
320212101120020000101210212022
423321330001020310122000
523330331202120111220
6303205500330021012
714012611516326665
oct1371740110643200
9225346200353768
1052359965394560
111575781149769a
125a57866577768
13232a6a6317b25
14cd0343241a6c
1560c0099b5925
hex2f9f01234680

52359965394560 has 128 divisors (see below), whose sum is σ = 129338484687360. Its totient is φ = 20248357662720.

The previous prime is 52359965394547. The next prime is 52359965394599. The reversal of 52359965394560 is 6549356995325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×523599653945602 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18795299 + ... + 21400541.

It is an arithmetic number, because the mean of its divisors is an integer number (1010456911620).

Almost surely, 252359965394560 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 52359965394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64669242343680).

52359965394560 is an abundant number, since it is smaller than the sum of its proper divisors (76978519292800).

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

52359965394560 is a wasteful number, since it uses less digits than its factorization.

52359965394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606306 (or 2606294 counting only the distinct ones).

The product of its (nonzero) digits is 1180980000, while the sum is 71.

The spelling of 52359965394560 in words is "fifty-two trillion, three hundred fifty-nine billion, nine hundred sixty-five million, three hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1013 1240 1984 2026 2480 3968 4052 4960 5065 8104 9920 10130 16208 19840 20260 31403 32416 40520 62806 64832 81040 125612 129664 157015 162080 251224 314030 324160 502448 628060 648320 1004896 1256120 2009792 2512240 2605243 4019584 5024480 5210486 10048960 10420972 13026215 20097920 20841944 26052430 41683888 52104860 80762533 83367776 104209720 161525066 166735552 208419440 323050132 333471104 403812665 416838880 646100264 807625330 833677760 1292200528 1615250660 1667355520 2584401056 2639111159 3230501320 5168802112 5278222318 6461002640 10337604224 10556444636 12922005280 13195555795 21112889272 25844010560 26391111590 42225778544 51688021120 52782223180 81812445929 84451557088 105564446360 163624891858 168903114176 211128892720 327249783716 337806228352 409062229645 422257785440 654499567432 818124459290 844515570880 1308999134864 1636248918580 1689031141760 2617998269728 3272497837160 5235996539456 6544995674320 10471993078912 13089991348640 26179982697280 52359965394560