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52885023739681 = 7217223226572
BaseRepresentation
bin11000000011001010000010…
…00011011100111100100001
320221020202111020022100101011
430001211001003130330201
523412432012034132211
6304251013340340521
714065550121533200
oct1401450103347441
9227222436270334
1052885023739681
111593a45a211721
125b2157b544741
132368061ab9a43
14d0b912479237
1561a9da493921
hex3019410dcf21

52885023739681 has 81 divisors (see below), whose sum is σ = 68341570536729. Its totient is φ = 40793252763648.

The previous prime is 52885023739657. The next prime is 52885023739697. The reversal of 52885023739681 is 18693732058825.

The square root of 52885023739681 is 7272209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9989335469281 + 42895688270400 = 3160591^2 + 6549480^2 .

It is not a de Polignac number, because 52885023739681 - 213 = 52885023731489 is a prime.

It is a super-2 number, since 2×528850237396812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52885023739651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19904034705 + ... + 19904037361.

Almost surely, 252885023739681 is an apocalyptic number.

52885023739681 is the 7272209-th square number.

52885023739681 is the 3636105-th centered octagonal number.

It is an amenable number.

52885023739681 is a deficient number, since it is larger than the sum of its proper divisors (15456546797048).

52885023739681 is an frugal number, since it uses more digits than its factorization.

52885023739681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 67.

The spelling of 52885023739681 in words is "fifty-two trillion, eight hundred eighty-five billion, twenty-three million, seven hundred thirty-nine thousand, six hundred eighty-one".

Divisors: 1 7 17 23 49 119 161 289 391 529 833 1127 2023 2657 2737 3703 6647 8993 14161 18599 19159 25921 45169 46529 61111 62951 130193 152881 316183 325703 427777 440657 767873 1038887 1070167 1405553 2213281 2994439 5375111 7059649 7272209 7491169 9838871 17661079 23894401 37625777 49417543 50905463 68872097 120014033 123627553 162371927 167260807 345922801 406204817 840098231 865392871 1136603489 1170825649 2040238561 2760322759 2843433719 3734554321 5880687617 7956224423 14281669927 19322259313 19904036033 26141880247 46925486903 63487423457 99971689489 135255815191 182993161729 328478408321 444411964199 1079286198769 2299348858247 3110883749393 7555003391383 52885023739681