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52275641175560 = 23511222134880593
BaseRepresentation
bin10111110001011010111110…
…00001011100111000001000
320212002111120022111122120002
423320231133001130320020
523322441003120104220
6303103033101222132
714003535056311625
oct1370553701347010
9225074508448502
1052275641175560
1115724a7a690900
125a43452561948
132322758363c5a
14cca22407734c
15609c21a7bc75
hex2f8b5f05ce08

52275641175560 has 96 divisors (see below), whose sum is σ = 129343452338520. Its totient is φ = 19000730327040.

The previous prime is 52275641175521. The next prime is 52275641175577. The reversal of 52275641175560 is 6557114657225.

52275641175560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49171145181796 + 3104495993764 = 7012214^2 + 1761958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52275641175496 and 52275641175505.

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 23 ways as a sum of consecutive naturals, for example, 8270624 + ... + 13151216.

Almost surely, 252275641175560 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 52275641175560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64671726169260).

52275641175560 is an abundant number, since it is smaller than the sum of its proper divisors (77067811162960).

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

52275641175560 is a wasteful number, since it uses less digits than its factorization.

52275641175560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882839 (or 4882824 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 56.

The spelling of 52275641175560 in words is "fifty-two trillion, two hundred seventy-five billion, six hundred forty-one million, one hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2213 2420 4426 4840 8852 11065 17704 22130 24343 44260 48686 88520 97372 121715 194744 243430 267773 486860 535546 973720 1071092 1338865 2142184 2677730 4880593 5355460 9761186 10710920 19522372 24402965 39044744 48805930 53686523 97611860 107373046 195223720 214746092 268432615 429492184 536865230 590551753 1073730460 1181103506 2147460920 2362207012 2952758765 4724414024 5905517530 10800752309 11811035060 21601504618 23622070120 43203009236 54003761545 86406018472 108007523090 118808275399 216015046180 237616550798 432030092360 475233101596 594041376995 950466203192 1188082753990 1306891029389 2376165507980 2613782058778 4752331015960 5227564117556 6534455146945 10455128235112 13068910293890 26137820587780 52275641175560