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82742395218 = 237294711312791
BaseRepresentation
bin100110100001111010…
…1001100000101010010
321220120110102012000020
41031003311030011102
52323424023121333
6102002240404310
75656301516640
oct1150365140522
9256513365006
1082742395218
11320aaa1a20a
1214052316696
137a58343392
14400d086190
15224412a3b3
hex1343d4c152

82742395218 has 128 divisors (see below), whose sum is σ = 201593733120. Its totient is φ = 22140410880.

The previous prime is 82742395201. The next prime is 82742395243. The reversal of 82742395218 is 81259324728.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462403 + ... + 6475193.

It is an arithmetic number, because the mean of its divisors is an integer number (1574951040).

Almost surely, 282742395218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82742395218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100796866560).

82742395218 is an abundant number, since it is smaller than the sum of its proper divisors (118851337902).

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

82742395218 is a wasteful number, since it uses less digits than its factorization.

82742395218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992.

The product of its digits is 1935360, while the sum is 51.

The spelling of 82742395218 in words is "eighty-two billion, seven hundred forty-two million, three hundred ninety-five thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 47 58 87 94 113 141 174 203 226 282 329 339 406 609 658 678 791 987 1218 1363 1582 1974 2373 2726 3277 4089 4746 5311 6554 8178 9541 9831 10622 12791 15933 19082 19662 22939 25582 28623 31866 37177 38373 45878 57246 68817 74354 76746 89537 111531 137634 154019 179074 223062 268611 308038 370939 462057 537222 601177 741878 924114 1078133 1112817 1202354 1445383 1803531 2156266 2225634 2596573 2890766 3234399 3607062 4208239 4336149 5193146 6468798 7789719 8416478 8672298 10117681 12624717 15579438 17434133 20235362 25249434 30353043 34868266 41916107 52302399 60706086 67933001 83832214 104604798 122038931 125748321 135866002 203799003 244077862 251496642 293412749 366116793 407598006 475531007 586825498 732233586 880238247 951062014 1426593021 1760476494 1970057029 2853186042 3940114058 5910171087 11820342174 13790399203 27580798406 41371197609 82742395218