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826405276040 = 23520660131901
BaseRepresentation
bin11000000011010011001…
…01111100100110001000
32221000002121022202010022
430001221211330212020
5102014434222313130
61431351221040012
7113464043642051
oct14015145744610
92830077282108
10826405276040
11299527263483
121141b5556008
135cc1168ac76
142bdd91d5728
151676b54c7e5
hexc06997c988

826405276040 has 16 divisors (see below), whose sum is σ = 1859411871180. Its totient is φ = 330562110400.

The previous prime is 826405276027. The next prime is 826405276063. The reversal of 826405276040 is 40672504628.

It can be written as a sum of positive squares in 2 ways, for example, as 743102617156 + 83302658884 = 862034^2 + 288622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 826405275982 and 826405276000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10330065911 + ... + 10330065990.

Almost surely, 2826405276040 is an apocalyptic number.

It is an amenable number.

826405276040 is an abundant number, since it is smaller than the sum of its proper divisors (1033006595140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

826405276040 is a wasteful number, since it uses less digits than its factorization.

826405276040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660131912 (or 20660131908 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 826405276040 in words is "eight hundred twenty-six billion, four hundred five million, two hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 20660131901 41320263802 82640527604 103300659505 165281055208 206601319010 413202638020 826405276040