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202058293107841 = 10321380072
BaseRepresentation
bin101101111100010101011100…
…110010001101110010000001
3222111102120202212020121102121
4231330111130302031302001
5202441010341013422331
61553424144242044241
760363141603131362
oct5574253462156201
9874376685217377
10202058293107841
11594224938a0915
121a7b4301649681
13889902775ca71
1437c79603a9b69
151855eeea08c11
hexb7c55cc8dc81

202058293107841 has 9 divisors (see below), whose sum is σ = 204040548520641. Its totient is φ = 200095112205252.

The previous prime is 202058293107829. The next prime is 202058293107887. The reversal of 202058293107841 is 148701392850202.

The square root of 202058293107841 is 14214721.

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

202058293107841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202058293107841 - 211 = 202058293105793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202058293104841) 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, 1464047260 + ... + 1464185266.

It is an arithmetic number, because the mean of its divisors is an integer number (22671172057849).

Almost surely, 2202058293107841 is an apocalyptic number.

202058293107841 is the 14214721-st square number.

202058293107841 is the 7107361-st centered octagonal number.

It is an amenable number.

202058293107841 is a deficient number, since it is larger than the sum of its proper divisors (1982255412800).

202058293107841 is an frugal number, since it uses more digits than its factorization.

202058293107841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276220 (or 138110 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 202058293107841 in words is "two hundred two trillion, fifty-eight billion, two hundred ninety-three million, one hundred seven thousand, eight hundred forty-one".

Divisors: 1 103 10609 138007 14214721 1464116263 19045932049 1961731001047 202058293107841