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829023151240 = 235171219151693
BaseRepresentation
bin11000001000001011010…
…00010110010010001000
32221020212001022120210001
430010011220112102020
5102040314411314430
61432503055132344
7113615652342214
oct14040550262210
92836761276701
10829023151240
1129a64aa578a9
121148062140b4
136023ab4c14b
142c1a6b6b944
15168712ae3ca
hexc105a16488

829023151240 has 32 divisors (see below), whose sum is σ = 1975025744280. Its totient is φ = 312102833152.

The previous prime is 829023151213. The next prime is 829023151241. The reversal of 829023151240 is 42151320928.

It can be written as a sum of positive squares in 4 ways, for example, as 736620526756 + 92402624484 = 858266^2 + 303978^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 829023151240.

It is not an unprimeable number, because it can be changed into a prime (829023151241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609575167 + ... + 609576526.

Almost surely, 2829023151240 is an apocalyptic number.

It is an amenable number.

829023151240 is an abundant number, since it is smaller than the sum of its proper divisors (1146002593040).

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

829023151240 is a wasteful number, since it uses less digits than its factorization.

829023151240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219151721 (or 1219151717 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 829023151240 in words is "eight hundred twenty-nine billion, twenty-three million, one hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1219151693 2438303386 4876606772 6095758465 9753213544 12191516930 20725578781 24383033860 41451157562 48766067720 82902315124 103627893905 165804630248 207255787810 414511575620 829023151240