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96686804928 = 2637311231317
BaseRepresentation
bin101101000001011111…
…0111000111111000000
3100020120021021121001010
41122002332320333000
53041003310224203
6112230045440520
76661663165440
oct1320276707700
9306507247033
1096686804928
11380061a965a
12168a4270140
13916b28a49c
14497300c120
1527ad42c303
hex1682fb8fc0

96686804928 has 112 divisors (see below), whose sum is σ = 293303821824. Its totient is φ = 27535856640.

The previous prime is 96686804927. The next prime is 96686804959. The reversal of 96686804928 is 82940868669.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96686804927) 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 15 ways as a sum of consecutive naturals, for example, 302326 + ... + 533642.

Almost surely, 296686804928 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 96686804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146651910912).

96686804928 is an abundant number, since it is smaller than the sum of its proper divisors (196617016896).

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

96686804928 is a wasteful number, since it uses less digits than its factorization.

96686804928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231650 (or 231640 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 96686804928 in words is "ninety-six billion, six hundred eighty-six million, eight hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 311 336 448 622 672 933 1244 1344 1866 2177 2488 3732 4354 4976 6531 7464 8708 9952 13062 14928 17416 19904 26124 29856 34832 52248 59712 69664 104496 139328 208992 231317 417984 462634 693951 925268 1387902 1619219 1850536 2775804 3238438 3701072 4857657 5551608 6476876 7402144 9715314 11103216 12953752 14804288 19430628 22206432 25907504 38861256 44412864 51815008 71939587 77722512 103630016 143879174 155445024 215818761 287758348 310890048 431637522 503577109 575516696 863275044 1007154218 1151033392 1510731327 1726550088 2014308436 2302066784 3021462654 3453100176 4028616872 4604133568 6042925308 6906200352 8057233744 12085850616 13812400704 16114467488 24171701232 32228934976 48343402464 96686804928