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83666881152 = 273324209167
BaseRepresentation
bin100110111101011101…
…1110100101010000000
321222221212222221022000
41031322323310222000
52332322210144102
6102234103344000
76021225520131
oct1157273645200
9258855887260
1083666881152
1132534856178
121426ba52000
137b74a30c8a
144099b77c88
15229a39201c
hex137aef4a80

83666881152 has 64 divisors (see below), whose sum is σ = 246933513600. Its totient is φ = 27888959232.

The previous prime is 83666881127. The next prime is 83666881171. The reversal of 83666881152 is 25118866638.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12101128 + ... + 12108039.

It is an arithmetic number, because the mean of its divisors is an integer number (3858336150).

Almost surely, 283666881152 is an apocalyptic number.

It is an amenable number.

83666881152 is an abundant number, since it is smaller than the sum of its proper divisors (163266632448).

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

83666881152 is a wasteful number, since it uses less digits than its factorization.

83666881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24209190 (or 24209172 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 83666881152 in words is "eighty-three billion, six hundred sixty-six million, eight hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 24209167 48418334 72627501 96836668 145255002 193673336 217882503 290510004 387346672 435765006 581020008 653647509 774693344 871530012 1162040016 1307295018 1549386688 1743060024 2324080032 2614590036 3098773376 3486120048 4648160064 5229180072 6972240096 9296320128 10458360144 13944480192 20916720288 27888960384 41833440576 83666881152