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96752680848 = 24331032518663
BaseRepresentation
bin101101000011011101…
…0001011111110010000
3100020201212020102211000
41122012322023332100
53041122141241343
6112240401422000
76663423134505
oct1320672137620
9306655212730
1096752680848
113803a40316a
121690233a900
13917bb13b15
14497ba794ac
1527b40e0ed3
hex1686e8bf90

96752680848 has 160 divisors (see below), whose sum is σ = 281561978880. Its totient is φ = 31806864000.

The previous prime is 96752680847. The next prime is 96752680867. The reversal of 96752680848 is 84808625769.

96752680848 is a `hidden beast` number, since 9 + 67 + 526 + 8 + 0 + 8 + 48 = 666.

It is a super-2 number, since 2×967526808482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96752680847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11164165 + ... + 11172827.

It is an arithmetic number, because the mean of its divisors is an integer number (1759762368).

Almost surely, 296752680848 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 96752680848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140780989440).

96752680848 is an abundant number, since it is smaller than the sum of its proper divisors (184809298032).

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

96752680848 is a wasteful number, since it uses less digits than its factorization.

96752680848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 96752680848 in words is "ninety-six billion, seven hundred fifty-two million, six hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 251 309 412 432 502 618 753 824 927 1004 1236 1506 1648 1854 2008 2259 2472 2781 3012 3708 4016 4518 4944 5562 6024 6777 7416 8663 9036 11124 12048 13554 14832 17326 18072 22248 25853 25989 27108 34652 36144 44496 51706 51978 54216 69304 77559 77967 103412 103956 108432 138608 155118 155934 206824 207912 232677 233901 310236 311868 413648 415824 465354 467802 620472 623736 698031 892289 930708 935604 1240944 1247472 1396062 1784578 1861416 1871208 2174413 2676867 2792124 3569156 3722832 3742416 4348826 5353734 5584248 6523239 7138312 8030601 8697652 10707468 11168496 13046478 14276624 16061202 17395304 19569717 21414936 24091803 26092956 32122404 34790608 39139434 42829872 48183606 52185912 58709151 64244808 78278868 96367212 104371824 117418302 128489616 156557736 192734424 223964539 234836604 313115472 385468848 447929078 469673208 671893617 895858156 939346416 1343787234 1791716312 2015680851 2687574468 3583432624 4031361702 5375148936 6047042553 8062723404 10750297872 12094085106 16125446808 24188170212 32250893616 48376340424 96752680848