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75808668096 = 263376267251
BaseRepresentation
bin100011010011010001…
…1000111100111000000
321020200020101100112000
41012212203013213000
52220224004334341
654454230504000
75322416022030
oct1064643074700
9236606340460
1075808668096
112a172020417
1212838205000
1371c19a2675
14395225b8c0
151e8a5528b6
hex11a68c79c0

75808668096 has 112 divisors (see below), whose sum is σ = 254701121280. Its totient is φ = 21659616000.

The previous prime is 75808668053. The next prime is 75808668121. The reversal of 75808668096 is 69086680857.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121530 + ... + 3145721.

Almost surely, 275808668096 is an apocalyptic number.

It is an amenable number.

75808668096 is an abundant number, since it is smaller than the sum of its proper divisors (178892453184).

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

75808668096 is a wasteful number, since it uses less digits than its factorization.

75808668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267279 (or 6267263 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 75808668096 in words is "seventy-five billion, eight hundred eight million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 6267251 12534502 18801753 25069004 37603506 43870757 50138008 56405259 75207012 87741514 100276016 112810518 131612271 150414024 169215777 175483028 200552032 225621036 263224542 300828048 338431554 350966056 394836813 401104064 451242072 526449084 601656096 676863108 701932112 789673626 902484144 1052898168 1184510439 1203312192 1353726216 1403864224 1579347252 1804968288 2105796336 2369020878 2707452432 2807728448 3158694504 3609936576 4211592672 4738041756 5414904864 6317389008 8423185344 9476083512 10829809728 12634778016 18952167024 25269556032 37904334048 75808668096