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82708585650 = 236522269097
BaseRepresentation
bin100110100000111010…
…0001101110010110010
321220111002210111000000
41031001310031302302
52323341344220100
6101555032010430
75655411243525
oct1150164156262
9256432714000
1082708585650
1132092927619
1214042b30a16
137a51336412
1440087a4bbc
15224119c900
hex1341d0dcb2

82708585650 has 84 divisors (see below), whose sum is σ = 230651542602. Its totient is φ = 22055613120.

The previous prime is 82708585637. The next prime is 82708585667. The reversal of 82708585650 is 5658580728.

It is a happy number.

82708585650 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 8 + 585 + 6 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 46690998561 + 36017587089 = 216081^2 + 189783^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1098099 + ... + 1170998.

Almost surely, 282708585650 is an apocalyptic number.

82708585650 is an abundant number, since it is smaller than the sum of its proper divisors (147942956952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82708585650 is a wasteful number, since it uses less digits than its factorization.

82708585650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269127 (or 2269107 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 82708585650 in words is "eighty-two billion, seven hundred eight million, five hundred eighty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2430 3645 4050 6075 7290 12150 18225 36450 2269097 4538194 6807291 11345485 13614582 20421873 22690970 34036455 40843746 56727425 61265619 68072910 102109365 113454850 122531238 170182275 183796857 204218730 306328095 340364550 367593714 510546825 551390571 612656190 918984285 1021093650 1102781142 1531640475 1654171713 1837968570 2756952855 3063280950 3308343426 4594921425 5513905710 8270858565 9189842850 13784764275 16541717130 27569528550 41354292825 82708585650