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82607988385 = 51324111321101
BaseRepresentation
bin100110011101111010…
…0011101111010100001
321220020002111121111101
41030323310131322201
52323140121112020
6101541035514401
75653050213166
oct1147364357241
9256202447441
1082607988385
113204106838a
12140152b8a01
137a36543b00
143dd929a06d
15223742b00a
hex133bd1dea1

82607988385 has 48 divisors (see below), whose sum is σ = 110937940848. Its totient is φ = 58985472000.

The previous prime is 82607988373. The next prime is 82607988401. The reversal of 82607988385 is 58388970628.

It can be written as a sum of positive squares in 24 ways, for example, as 68492647521 + 14115340864 = 261711^2 + 118808^2 .

It is not a de Polignac number, because 82607988385 - 213 = 82607980193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3904335 + ... + 3925435.

It is an arithmetic number, because the mean of its divisors is an integer number (2311207101).

Almost surely, 282607988385 is an apocalyptic number.

It is an amenable number.

82607988385 is a deficient number, since it is larger than the sum of its proper divisors (28329952463).

82607988385 is a wasteful number, since it uses less digits than its factorization.

82607988385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 21273 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 82607988385 in words is "eighty-two billion, six hundred seven million, nine hundred eighty-eight thousand, three hundred eighty-five".

Divisors: 1 5 13 41 65 113 169 205 533 565 845 1469 2665 4633 6929 7345 19097 21101 23165 34645 60229 95485 105505 274313 301145 782977 865141 1371565 2384413 3566069 3914885 4325705 11246833 11922065 17830345 30997369 56234165 97760933 146208829 154986845 402965797 488804665 731044145 1270892129 2014828985 6354460645 16521597677 82607988385