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820612488129 = 3753737297833
BaseRepresentation
bin10111111000100000101…
…00001101101111000001
32220110010220011121222220
423330100110031233001
5101421103244110004
61424552325321253
7113200354026420
oct13742024155701
92813126147886
10820612488129
112970243a1155
12113059566229
135c4ca503105
142ba09b252b7
151652cbe5dd9
hexbf1050dbc1

820612488129 has 16 divisors (see below), whose sum is σ = 1274050657152. Its totient is φ = 460073847168.

The previous prime is 820612488119. The next prime is 820612488173. The reversal of 820612488129 is 921884216028.

It is not a de Polignac number, because 820612488129 - 28 = 820612487873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820612488119) 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 15 ways as a sum of consecutive naturals, for example, 368647804 + ... + 368650029.

It is an arithmetic number, because the mean of its divisors is an integer number (79628166072).

Almost surely, 2820612488129 is an apocalyptic number.

It is an amenable number.

820612488129 is a deficient number, since it is larger than the sum of its proper divisors (453438169023).

820612488129 is a wasteful number, since it uses less digits than its factorization.

820612488129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737297896.

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 820612488129 in words is "eight hundred twenty billion, six hundred twelve million, four hundred eighty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 53 159 371 1113 737297833 2211893499 5161084831 15483254493 39076785149 117230355447 273537496043 820612488129