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829181909109 = 31914547051037
BaseRepresentation
bin11000001000011110001…
…01111101100001110101
32221021021010001022122010
430010033011331201311
5102041131032042414
61432530525554433
7113622620636151
oct14041705754165
92837233038563
10829181909109
1129a721630a54
1211484b415a19
13602649c6408
142c1bdc96061
15168801bd959
hexc10f17d875

829181909109 has 8 divisors (see below), whose sum is σ = 1163764083040. Its totient is φ = 523693837296.

The previous prime is 829181909081. The next prime is 829181909131. The reversal of 829181909109 is 901909181928.

829181909109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 829181909109 - 223 = 829173520501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57), and also a Moran number because the ratio is a prime number: 14547051037 = 829181909109 / (8 + 2 + 9 + 1 + 8 + 1 + 9 + 0 + 9 + 1 + 0 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829181909209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7273525462 + ... + 7273525575.

It is an arithmetic number, because the mean of its divisors is an integer number (145470510380).

Almost surely, 2829181909109 is an apocalyptic number.

It is an amenable number.

829181909109 is a deficient number, since it is larger than the sum of its proper divisors (334582173931).

829181909109 is a wasteful number, since it uses less digits than its factorization.

829181909109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14547051059.

The product of its (nonzero) digits is 839808, while the sum is 57.

The spelling of 829181909109 in words is "eight hundred twenty-nine billion, one hundred eighty-one million, nine hundred nine thousand, one hundred nine".

Divisors: 1 3 19 57 14547051037 43641153111 276393969703 829181909109