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8142177329 = 1113349163147
BaseRepresentation
bin1111001010100111…
…11100010000110001
3210000102221110112022
413211103330100301
5113133344133304
63423535041225
7405525236216
oct74523742061
923012843468
108142177329
1134a9057380
1216b2970215
139c9b33510
14573517b0d
15329c31ebe
hex1e54fc431

8142177329 has 16 divisors (see below), whose sum is σ = 9593102400. Its totient is φ = 6812976960.

The previous prime is 8142177301. The next prime is 8142177343. The reversal of 8142177329 is 9237712418.

8142177329 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 8142177329 - 28 = 8142177073 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8142177329.

It is not an unprimeable number, because it can be changed into a prime (8142177929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31667 + ... + 131480.

It is an arithmetic number, because the mean of its divisors is an integer number (599568900).

Almost surely, 28142177329 is an apocalyptic number.

It is an amenable number.

8142177329 is a deficient number, since it is larger than the sum of its proper divisors (1450925071).

8142177329 is a wasteful number, since it uses less digits than its factorization.

8142177329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163520.

The product of its digits is 169344, while the sum is 44.

The square root of 8142177329 is about 90234.0142573741. The cubic root of 8142177329 is about 2011.7786067851.

The spelling of 8142177329 in words is "eight billion, one hundred forty-two million, one hundred seventy-seven thousand, three hundred twenty-nine".

Divisors: 1 11 13 143 349 3839 4537 49907 163147 1794617 2120911 23330021 56938303 626321333 740197939 8142177329