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82000030008 = 233132386313241
BaseRepresentation
bin100110001011110010…
…1010010100100111000
321211122201112010101110
41030113211102210320
52320414001430013
6101400441120320
75632015516611
oct1142745224470
9254581463343
1082000030008
1131859974246
1213a857890a0
13796a5bca20
143d7c640c08
1521edd8a2c3
hex1317952938

82000030008 has 128 divisors (see below), whose sum is σ = 230652334080. Its totient is φ = 24104002560.

The previous prime is 82000030001. The next prime is 82000030061. The reversal of 82000030008 is 80003000028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000030001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6186268 + ... + 6199508.

It is an arithmetic number, because the mean of its divisors is an integer number (1801971360).

Almost surely, 282000030008 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 82000030008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115326167040).

82000030008 is an abundant number, since it is smaller than the sum of its proper divisors (148652304072).

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

82000030008 is a wasteful number, since it uses less digits than its factorization.

82000030008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14149 (or 14145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 82000030008 in words is "eighty-two billion, thirty thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 863 897 1196 1726 1794 2392 2589 3452 3588 5178 6904 7176 10356 11219 13241 19849 20712 22438 26482 33657 39698 39723 44876 52964 59547 67314 79396 79446 89752 105928 119094 134628 158792 158892 172133 238188 258037 269256 304543 317784 344266 476376 516074 516399 609086 688532 774111 913629 1032148 1032798 1218172 1377064 1548222 1827258 2064296 2065596 2436344 3096444 3654516 3959059 4131192 6192888 7309032 7918118 11426983 11877177 15836236 22853966 23754354 31672472 34280949 45707932 47508708 68561898 91415864 95017416 137123796 148550779 262820609 274247592 297101558 445652337 525641218 594203116 788461827 891304674 1051282436 1188406232 1576923654 1782609348 2102564872 3153847308 3416667917 3565218696 6307694616 6833335834 10250003751 13666671668 20500007502 27333343336 41000015004 82000030008