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8513020002084 = 223131371051378997
BaseRepresentation
bin111101111100001011110…
…0010000111111100100100
31010010211121000000202021020
41323320113202013330210
52103434131110031314
630034454415051140
71536021400041423
oct173702742077444
933124530022236
108513020002084
112792395947a34
12b55a69210ab0
13499a0b2c7c80
14216064b572ba
15eb69ab4bda9
hex7be17887f24

8513020002084 has 96 divisors (see below), whose sum is σ = 21568394150016. Its totient is φ = 2597790182400.

The previous prime is 8513020002013. The next prime is 8513020002103. The reversal of 8513020002084 is 4802000203158.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22272474 + ... + 22651470.

It is an arithmetic number, because the mean of its divisors is an integer number (224670772396).

Almost surely, 28513020002084 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 8513020002084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784197075008).

8513020002084 is an abundant number, since it is smaller than the sum of its proper divisors (13055374147932).

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

8513020002084 is a wasteful number, since it uses less digits than its factorization.

8513020002084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380205 (or 380203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 8513020002084 in words is "eight trillion, five hundred thirteen billion, twenty million, two thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1051 1644 1781 2102 3153 3562 4204 5343 6306 7124 10686 12612 13663 21372 27326 40989 54652 81978 143987 163956 287974 378997 431961 575948 757994 863922 1136991 1515988 1727844 1871831 2273982 3743662 4547964 4926961 5615493 7487324 9853922 11230986 14780883 19707844 22461972 29561766 51922589 59123532 103845178 155767767 207690356 311535534 398325847 623071068 674993657 796651694 1194977541 1349987314 1593303388 2024980971 2389955082 2699974628 4049961942 4779910164 5178236011 8099923884 10356472022 15534708033 20712944044 31069416066 54570641039 62138832132 109141282078 163711923117 218282564156 327423846234 654847692468 709418333507 1418836667014 2128255000521 2837673334028 4256510001042 8513020002084