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96524388940896 = 25327375731274297
BaseRepresentation
bin10101111100100111010101…
…111010100011110001100000
3110122202122022121221002220100
4111330213111322203301200
5100122423422032102041
6541142405255342400
726221441224450450
oct2574472572436140
9418678277832810
1096524388940896
1128834844198304
12a9ab0a6681a00
1341b2298233267
1419b9b3bc57d60
15b25c4a6656b6
hex57c9d5ea3c60

96524388940896 has 144 divisors (see below), whose sum is σ = 313712859436704. Its totient is φ = 27577641203712.

The previous prime is 96524388940883. The next prime is 96524388940937. The reversal of 96524388940896 is 69804988342569.

96524388940896 is a `hidden beast` number, since 9 + 6 + 5 + 2 + 43 + 8 + 89 + 408 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×965243889408963 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75110020 + ... + 76384316.

It is an arithmetic number, because the mean of its divisors is an integer number (2178561523866).

Almost surely, 296524388940896 is an apocalyptic number.

96524388940896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96524388940896 is an abundant number, since it is smaller than the sum of its proper divisors (217188470495808).

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

96524388940896 is a wasteful number, since it uses less digits than its factorization.

96524388940896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311893 (or 1311882 counting only the distinct ones).

The product of its (nonzero) digits is 6449725440, while the sum is 81.

The spelling of 96524388940896 in words is "ninety-six trillion, five hundred twenty-four billion, three hundred eighty-eight million, nine hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 37573 75146 112719 150292 225438 263011 300584 338157 450876 526022 601168 676314 789033 901752 1052044 1202336 1274297 1352628 1578066 1803504 2104088 2367099 2548594 2705256 3156132 3607008 3822891 4208176 4734198 5097188 5410512 6312264 7645782 8416352 8920079 9468396 10194376 10821024 11468673 12624528 15291564 17840158 18936792 20388752 22937346 25249056 26760237 30583128 35680316 37873584 40777504 45874692 53520474 61166256 71360632 75747168 80280711 91749384 107040948 122332512 142721264 160561422 183498768 214081896 285442528 321122844 366997536 428163792 642245688 856327584 1284491376 2568982752 47879161181 95758322362 143637483543 191516644724 287274967086 335154128267 383033289448 430912450629 574549934172 670308256534 766066578896 861824901258 1005462384801 1149099868344 1340616513068 1532133157792 1723649802516 2010924769602 2298199736688 2681233026136 3016387154403 3447299605032 4021849539204 4596399473376 5362466052272 6032774308806 6894599210064 8043699078408 10724932104544 12065548617612 13789198420128 16087398156816 24131097235224 32174796313632 48262194470448 96524388940896