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8132882317 = 723593112753
BaseRepresentation
bin1111001001100000…
…11110111110001101
3202222210110020011121
413210300132332031
5113124004213232
63423003520541
7405353234110
oct74460367615
922883406147
108132882317
1134a388894a
1216ab829151
139c7c2a801
145721b8577
15328ee7d97
hex1e4c1ef8d

8132882317 has 32 divisors (see below), whose sum is σ = 9898536960. Its totient is φ = 6531486720.

The previous prime is 8132882309. The next prime is 8132882323. The reversal of 8132882317 is 7132882318.

It is a cyclic number.

It is not a de Polignac number, because 8132882317 - 23 = 8132882309 is a prime.

It is a super-2 number, since 2×81328823172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132882377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952813 + ... + 2955565.

It is an arithmetic number, because the mean of its divisors is an integer number (309329280).

Almost surely, 28132882317 is an apocalyptic number.

It is an amenable number.

8132882317 is a deficient number, since it is larger than the sum of its proper divisors (1765654643).

8132882317 is a wasteful number, since it uses less digits than its factorization.

8132882317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153.

The product of its digits is 129024, while the sum is 43.

The square root of 8132882317 is about 90182.4945152883. The cubic root of 8132882317 is about 2011.0127745119.

Subtracting from 8132882317 its reverse (7132882318), we obtain a palindrome (999999999).

The spelling of 8132882317 in words is "eight billion, one hundred thirty-two million, eight hundred eighty-two thousand, three hundred seventeen".

Divisors: 1 7 23 59 161 311 413 1357 2177 2753 7153 9499 18349 19271 50071 63319 128443 162427 422027 443233 856183 1136989 2954189 3735821 5993281 19692209 26150747 50514797 137845463 353603579 1161840331 8132882317