Search a number
-
+
535205362670641 = 13229611793024837
BaseRepresentation
bin111100110110001000011010…
…1100001100001110000110001
32121012000010120221111002222101
41321230100311201201300301
51030122301040320430031
65134141541020140401
7220506211550246455
oct17154206541416061
92535003527432871
10535205362670641
111455953574a8393
125003a475097701
1319c83859216450
14962411357a665
1541d1dbe062361
hex1e6c435861c31

535205362670641 has 8 divisors (see below), whose sum is σ = 576400108622184. Its totient is φ = 494014202814720.

The previous prime is 535205362670621. The next prime is 535205362670687. The reversal of 535205362670641 is 146076263502535.

It can be written as a sum of positive squares in 4 ways, for example, as 55608714225 + 535149753956416 = 235815^2 + 23133304^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 535205362670641 - 27 = 535205362670513 is a prime.

It is a super-3 number, since 3×5352053626706413 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (535205362670621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896213926 + ... + 896810911.

It is an arithmetic number, because the mean of its divisors is an integer number (72050013577773).

Almost surely, 2535205362670641 is an apocalyptic number.

It is an amenable number.

535205362670641 is a deficient number, since it is larger than the sum of its proper divisors (41194745951543).

535205362670641 is a wasteful number, since it uses less digits than its factorization.

535205362670641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793047811.

The product of its (nonzero) digits is 27216000, while the sum is 55.

The spelling of 535205362670641 in words is "five hundred thirty-five trillion, two hundred five billion, three hundred sixty-two million, six hundred seventy thousand, six hundred forty-one".

Divisors: 1 13 22961 298493 1793024837 23309322881 41169643282357 535205362670641