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52845538620680 = 235131731229477977
BaseRepresentation
bin11000000010000000011111…
…00011101011010100001000
320221002222120110002110211022
430001000033203223110020
523411310130341330210
6304220523313252012
714062651465545161
oct1401001743532410
9227088513073738
1052845538620680
1115924737964373
125b1599bb64008
13236440b5cc9c0
14d09a48418768
15619978cb4155
hex30100f8eb508

52845538620680 has 128 divisors (see below), whose sum is σ = 128894032965600. Its totient is φ = 19383586332672.

The previous prime is 52845538620649. The next prime is 52845538620767. The reversal of 52845538620680 is 8602683554825.

It can be written as a sum of positive squares in 16 ways, for example, as 7422279076996 + 45423259543684 = 2724386^2 + 6739678^2 .

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 31 ways as a sum of consecutive naturals, for example, 110321852 + ... + 110799828.

Almost surely, 252845538620680 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 52845538620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447016482800).

52845538620680 is an abundant number, since it is smaller than the sum of its proper divisors (76048494344920).

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

52845538620680 is a wasteful number, since it uses less digits than its factorization.

52845538620680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479403 (or 479399 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 62.

The spelling of 52845538620680 in words is "fifty-two trillion, eight hundred forty-five billion, five hundred thirty-eight million, six hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 520 692 865 1229 1384 1730 2249 2458 3460 4498 4916 6145 6920 8996 9832 11245 12290 15977 17992 22490 24580 31954 44980 49160 63908 79885 89960 127816 159770 212617 319540 425234 477977 639080 850468 955954 1063085 1700936 1911908 2126170 2389885 2764021 3823816 4252340 4779770 5528042 6213701 8504680 9559540 11056084 12427402 13820105 19119080 22112168 24854804 27640210 31068505 49709608 55280420 62137010 82690021 110560840 124274020 165380042 248548040 330760084 413450105 587433733 661520168 826900210 1074970273 1174867466 1653800420 2149940546 2349734932 2937168665 3307600840 4299881092 4699469864 5374851365 5874337330 7636638529 8599762184 10749702730 11748674660 15273277058 21499405460 23497349320 30546554116 38183192645 42998810920 61093108232 76366385290 101626035809 152732770580 203252071618 305465541160 406504143236 508130179045 813008286472 1016260358090 1321138465517 2032520716180 2642276931034 4065041432360 5284553862068 6605692327585 10569107724136 13211384655170 26422769310340 52845538620680