Search a number
-
+
82130623176 = 23371733785333
BaseRepresentation
bin100110001111101011…
…1011101101011001000
321211222211020221112110
41030133113131223020
52321200414420201
6101421424142320
75635162530660
oct1143727355310
9254884227473
1082130623176
1131916660888
1213b014679a0
13798b6854a4
143d91b171a0
15220a5846d6
hex131f5ddac8

82130623176 has 128 divisors (see below), whose sum is σ = 249202586880. Its totient is φ = 22019751936.

The previous prime is 82130623121. The next prime is 82130623177. The reversal of 82130623176 is 67132603128.

It is not an unprimeable number, because it can be changed into a prime (82130623177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919806 + ... + 1005138.

It is an arithmetic number, because the mean of its divisors is an integer number (1946895210).

Almost surely, 282130623176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82130623176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124601293440).

82130623176 is an abundant number, since it is smaller than the sum of its proper divisors (167071963704).

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

82130623176 is a wasteful number, since it uses less digits than its factorization.

82130623176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85703 (or 85699 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 82130623176 in words is "eighty-two billion, one hundred thirty million, six hundred twenty-three thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 337 357 408 476 674 714 952 1011 1348 1428 2022 2359 2696 2856 4044 4718 5729 7077 8088 9436 11458 14154 17187 18872 22916 28308 34374 40103 45832 56616 68748 80206 85333 120309 137496 160412 170666 240618 255999 320824 341332 481236 511998 597331 682664 962472 1023996 1194662 1450661 1791993 2047992 2389324 2901322 3583986 4351983 4778648 5802644 7167972 8703966 10154627 11605288 14335944 17407932 20309254 28757221 30463881 34815864 40618508 57514442 60927762 81237016 86271663 115028884 121855524 172543326 201300547 230057768 243711048 345086652 402601094 488872757 603901641 690173304 805202188 977745514 1207803282 1466618271 1610404376 1955491028 2415606564 2933236542 3422109299 3910982056 4831213128 5866473084 6844218598 10266327897 11732946168 13688437196 20532655794 27376874392 41065311588 82130623176