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82848755276 = 22721937619857
BaseRepresentation
bin100110100101000101…
…0111010111001001100
321220211212112211120122
41031022022322321030
52324133240132101
6102021000204112
75662032541400
oct1151212727114
9256755484518
1082848755276
1132154a65091
1214081a69638
137a743a2a21
14401d251100
15224d63951b
hex134a2bae4c

82848755276 has 144 divisors (see below), whose sum is σ = 185339075040. Its totient is φ = 32188907520.

The previous prime is 82848755273. The next prime is 82848755279. The reversal of 82848755276 is 67255784828.

It is an interprime number because it is at equal distance from previous prime (82848755273) and next prime (82848755279).

It is not an unprimeable number, because it can be changed into a prime (82848755273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8400140 + ... + 8409996.

It is an arithmetic number, because the mean of its divisors is an integer number (1287076910).

Almost surely, 282848755276 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 82848755276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92669537520).

82848755276 is an abundant number, since it is smaller than the sum of its proper divisors (102490319764).

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

82848755276 is a wasteful number, since it uses less digits than its factorization.

82848755276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9983 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 62.

The spelling of 82848755276 in words is "eighty-two billion, eight hundred forty-eight million, seven hundred fifty-five thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 37 38 49 61 74 76 98 122 133 148 196 244 259 266 427 518 532 703 854 931 1036 1159 1406 1708 1813 1862 2257 2318 2812 2989 3626 3724 4514 4636 4921 5978 7252 8113 9028 9842 9857 11956 15799 16226 19684 19714 31598 32452 34447 39428 42883 56791 63196 68894 68999 85766 110593 113582 137788 137998 171532 187283 221186 227164 275996 300181 364709 374566 442372 482993 600362 601277 729418 749132 965986 1200724 1202554 1310981 1458836 1931972 2101267 2405108 2552963 2621962 4202534 4208939 5105926 5243924 6929471 8405068 8417878 9176867 10211852 11424263 13858942 16835756 17870741 18353734 22247249 22848526 27717884 29462573 35741482 36707468 44494498 45697052 48506297 58925146 71482964 79969841 88988996 97012594 117850292 155730743 159939682 194025188 311461486 319879364 339544079 422697731 559788887 622922972 679088158 845395462 1090115201 1119577774 1358176316 1690790924 2180230402 2239155548 2958884117 4360460804 5917768234 11835536468 20712188819 41424377638 82848755276