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82673228385 = 325113150310711
BaseRepresentation
bin100110011111110110…
…1010101101001100001
321220101122021010221200
41030333231111221201
52323303321302020
6101551330111413
75654501563236
oct1147755255141
9256348233850
1082673228385
1132074978140
121403311b569
137a46c06b67
144003bdd78d
15223d016590
hex133fb55a61

82673228385 has 96 divisors (see below), whose sum is σ = 161706295296. Its totient is φ = 38710224000.

The previous prime is 82673228371. The next prime is 82673228387. The reversal of 82673228385 is 58382237628.

It is not a de Polignac number, because 82673228385 - 28 = 82673228129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82673228387) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7713180 + ... + 7723890.

It is an arithmetic number, because the mean of its divisors is an integer number (1684440576).

Almost surely, 282673228385 is an apocalyptic number.

It is an amenable number.

82673228385 is a deficient number, since it is larger than the sum of its proper divisors (79033066911).

82673228385 is a wasteful number, since it uses less digits than its factorization.

82673228385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11264 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 82673228385 in words is "eighty-two billion, six hundred seventy-three million, two hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 155 165 279 341 465 495 503 1023 1395 1509 1705 2515 3069 4527 5115 5533 7545 10711 15345 15593 16599 22635 27665 32133 46779 49797 53555 77965 82995 96399 117821 140337 160665 171523 233895 248985 332041 353463 481995 514569 589105 701685 857615 996123 1060389 1543707 1660205 1767315 2572845 2988369 3652451 4980615 5301945 5387633 7718535 10957353 14941845 16162899 18262255 26938165 32872059 48488697 54786765 59263963 80814495 164360295 167016623 177791889 242443485 296319815 501049869 533375667 835083115 888959445 1503149607 1837182853 2505249345 2666878335 5511548559 7515748035 9185914265 16534645677 27557742795 82673228385