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52910479533681 = 3272112314892
BaseRepresentation
bin11000000011111001011100…
…10101100110011001110001
320221100012012021212200000100
430001330232111212121301
523413341130230034211
6304310423322343013
714100441002315100
oct1401745625463161
9227305167780010
1052910479533681
111594a232361500
125b264a465aa69
13236a58a89b243
14d0cc4918c037
1561b4ca19b156
hex301f2e566671

52910479533681 has 81 divisors (see below), whose sum is σ = 97724032379883. Its totient is φ = 27485090519040.

The previous prime is 52910479533673. The next prime is 52910479533733. The reversal of 52910479533681 is 18633597401925.

The square root of 52910479533681 is 7273959.

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

52910479533681 is a `hidden beast` number, since 5 + 2 + 9 + 1 + 0 + 479 + 53 + 36 + 81 = 666.

52910479533681 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 only one way, i.e., 31480616556081 + 21429862977600 = 5610759^2 + 4629240^2 .

It is not a de Polignac number, because 52910479533681 - 23 = 52910479533673 is a prime.

It is a super-2 number, since 2×529104795336812 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (52910479532681) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1680268785 + ... + 1680300273.

It is a 1-persistent number, because it is pandigital, but 2⋅52910479533681 = 105820959067362 is not.

Almost surely, 252910479533681 is an apocalyptic number.

52910479533681 is the 7273959-th square number.

52910479533681 is the 3636980-th centered octagonal number.

It is an amenable number.

52910479533681 is a deficient number, since it is larger than the sum of its proper divisors (44813552846202).

52910479533681 is an frugal number, since it uses more digits than its factorization.

52910479533681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63020 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 52910479533681 in words is "fifty-two trillion, nine hundred ten billion, four hundred seventy-nine million, five hundred thirty-three thousand, six hundred eighty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 31489 53361 94467 220423 283401 346379 661269 1039137 1542961 1983807 2424653 3117411 3810169 4628883 7273959 11430507 13886649 16972571 21821877 26671183 34291521 50917713 80013549 152753139 186698281 240040647 560094843 991557121 1680284529 2974671363 6940899847 8924014089 10907128331 20822699541 32721384993 48586298929 62468098623 76349898317 98164154979 119978411641 145758896787 229049694951 359935234923 437276690361 534449288219 687149084853 839848881487 1079805704769 1603347864657 2519546644461 4810043593971 5878942170409 7558639933383 17636826511227 52910479533681