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831048576413 = 11268571001629
BaseRepresentation
bin11000001011111100101…
…10101110110110011101
32221110002012111211210012
430011332112232312131
5102103441413421123
61433440051053005
7114020105226656
oct14057626566635
92843065454705
10831048576413
112a049a28a800
121150905a1165
13604a1659093
142c319b6452d
151693dee5378
hexc17e5aed9d

831048576413 has 12 divisors (see below), whose sum is σ = 913600745820. Its totient is φ = 755387772480.

The previous prime is 831048576349. The next prime is 831048576451. The reversal of 831048576413 is 314675840138.

It can be written as a sum of positive squares in 2 ways, for example, as 388699877764 + 442348698649 = 623458^2 + 665093^2 .

It is not a de Polignac number, because 831048576413 - 26 = 831048576349 is a prime.

It is a super-3 number, since 3×8310485764133 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831048576473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328883 + ... + 1330511.

It is an arithmetic number, because the mean of its divisors is an integer number (76133395485).

Almost surely, 2831048576413 is an apocalyptic number.

It is an amenable number.

831048576413 is a deficient number, since it is larger than the sum of its proper divisors (82552169407).

831048576413 is a wasteful number, since it uses less digits than its factorization.

831048576413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008508 (or 1008497 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 831048576413 in words is "eight hundred thirty-one billion, forty-eight million, five hundred seventy-six thousand, four hundred thirteen".

Divisors: 1 11 121 6857 75427 829697 1001629 11017919 121197109 6868170053 75549870583 831048576413