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5093502820641 = 327522932
BaseRepresentation
bin100101000011110110001…
…1011010010000100100001
3200000221012222011120010100
41022013230123102010201
51131422443210230031
614455531202253013
71033664514423564
oct112075433220441
920027188146110
105093502820641
111694162611644
126a31a3957169
132ac4137cc981
141387539784db
158c761365de6
hex4a1ec6d2121

5093502820641 has 9 divisors (see below), whose sum is σ = 7357291631859. Its totient is φ = 3395664033336.

The previous prime is 5093502820589. The next prime is 5093502820649. The reversal of 5093502820641 is 1460282053905.

The square root of 5093502820641 is 2256879.

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

5093502820641 is a `hidden beast` number, since 5 + 0 + 9 + 3 + 502 + 82 + 0 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4666053611025 + 427449209616 = 2160105^2 + 653796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 5093502820641 - 225 = 5093469266209 is a prime.

It is a super-3 number, since 3×50935028206413 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5093502820649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6394491 + ... + 7146783.

Almost surely, 25093502820641 is an apocalyptic number.

5093502820641 is the 2256879-th square number.

5093502820641 is the 1128440-th centered octagonal number.

It is an amenable number.

5093502820641 is a deficient number, since it is larger than the sum of its proper divisors (2263788811218).

5093502820641 is an frugal number, since it uses more digits than its factorization.

5093502820641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504592 (or 752296 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5093502820641 in words is "five trillion, ninety-three billion, five hundred two million, eight hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 9 752293 2256879 6770637 565944757849 1697834273547 5093502820641