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12582216368165 = 513211904953273
BaseRepresentation
bin1011011100011000011010…
…0010011000000000100101
31122112211220021220001120202
42313012012202120000211
53122121334342240130
642432105043240245
72436015023334263
oct267060642300045
948484807801522
1012582216368165
1140110a7138604
1214b2626979085
13703661bb5102
14316da8079433
1516c45b8c4145
hexb7186898025

12582216368165 has 8 divisors (see below), whose sum is σ = 15110089369368. Its totient is φ = 10058153276160.

The previous prime is 12582216368159. The next prime is 12582216368167. The reversal of 12582216368165 is 56186361228521.

It is a happy number.

It is a Cunningham number, because it is equal to 35471422+1.

It can be written as a sum of positive squares in 4 ways, for example, as 4529601297796 + 8052615070369 = 2128286^2 + 2837713^2 .

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

It is not a de Polignac number, because 12582216368165 - 214 = 12582216351781 is a prime.

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 12582216368165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582216368167) 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 7 ways as a sum of consecutive naturals, for example, 952470032 + ... + 952483241.

It is an arithmetic number, because the mean of its divisors is an integer number (1888761171171).

Almost surely, 212582216368165 is an apocalyptic number.

It is an amenable number.

12582216368165 is a deficient number, since it is larger than the sum of its proper divisors (2527873001203).

12582216368165 is a wasteful number, since it uses less digits than its factorization.

12582216368165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904954599.

The product of its digits is 8294400, while the sum is 56.

The spelling of 12582216368165 in words is "twelve trillion, five hundred eighty-two billion, two hundred sixteen million, three hundred sixty-eight thousand, one hundred sixty-five".

Divisors: 1 5 1321 6605 1904953273 9524766365 2516443273633 12582216368165