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834383579409 = 32215174308653
BaseRepresentation
bin11000010010001010010…
…00110000100100010001
32221202200121220112211200
430021011020300210101
5102132304144020114
61435151023501413
7114165542255532
oct14110510604421
92852617815750
10834383579409
112a1950861926
12115861457869
13608b3575633
142c554a52689
1516a86bae409
hexc245230911

834383579409 has 12 divisors (see below), whose sum is σ = 1205277018036. Its totient is φ = 556229738592.

The previous prime is 834383579401. The next prime is 834383579437. The reversal of 834383579409 is 904975383438.

834383579409 is a `hidden beast` number, since 83 + 4 + 3 + 83 + 5 + 79 + 409 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 382012997184 + 452370582225 = 618072^2 + 672585^2 .

It is not a de Polignac number, because 834383579409 - 23 = 834383579401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (834383579401) 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 11 ways as a sum of consecutive naturals, for example, 1960674 + ... + 2347979.

It is an arithmetic number, because the mean of its divisors is an integer number (100439751503).

Almost surely, 2834383579409 is an apocalyptic number.

It is an amenable number.

834383579409 is a deficient number, since it is larger than the sum of its proper divisors (370893438627).

834383579409 is a wasteful number, since it uses less digits than its factorization.

834383579409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330176 (or 4330173 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 834383579409 in words is "eight hundred thirty-four billion, three hundred eighty-three million, five hundred seventy-nine thousand, four hundred nine".

Divisors: 1 3 9 21517 64551 193653 4308653 12925959 38777877 92709286601 278127859803 834383579409