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116670986208 = 25327195129663
BaseRepresentation
bin110110010101000100…
…0011111011111100000
3102011011000001012002100
41230222020133133200
53402420233024313
6125333052050400
711300134006560
oct1545210373740
9364130035070
10116670986208
1145530803857
121a740a63a00
13b0045b6c1a
14590b176da0
15307cac1173
hex1b2a21f7e0

116670986208 has 144 divisors (see below), whose sum is σ = 379387846656. Its totient is φ = 33316358400.

The previous prime is 116670986203. The next prime is 116670986269. The reversal of 116670986208 is 802689076611.

116670986208 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 0 + 9 + 8 + 620 + 8 = 666.

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

It is a super-2 number, since 2×1166709862082 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116670986203) 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 23 ways as a sum of consecutive naturals, for example, 3918385 + ... + 3948047.

It is an arithmetic number, because the mean of its divisors is an integer number (2634637824).

Almost surely, 2116670986208 is an apocalyptic number.

116670986208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116670986208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189693923328).

116670986208 is an abundant number, since it is smaller than the sum of its proper divisors (262716860448).

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

116670986208 is a wasteful number, since it uses less digits than its factorization.

116670986208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31637 (or 31626 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 116670986208 in words is "one hundred sixteen billion, six hundred seventy million, nine hundred eighty-six thousand, two hundred eight".

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 1951 2016 3902 5853 7804 11706 13657 15608 17559 23412 27314 29663 31216 35118 40971 46824 54628 59326 62432 70236 81942 88989 93648 109256 118652 122913 140472 163884 177978 187296 207641 218512 237304 245826 266967 280944 327768 355956 415282 437024 474608 491652 533934 561888 622923 655536 711912 830564 949216 983304 1067868 1245846 1311072 1423824 1661128 1868769 1966608 2135736 2491692 2847648 3322256 3737538 3933216 4271472 4983384 6644512 7475076 8542944 9966768 14950152 19933536 29900304 57872513 59800608 115745026 173617539 231490052 347235078 405107591 462980104 520852617 694470156 810215182 925960208 1041705234 1215322773 1388940312 1620430364 1851920416 2083410468 2430645546 2777880624 3240860728 3645968319 4166820936 4861291092 5555761248 6481721456 7291936638 8333641872 9722582184 12963442912 14583873276 16667283744 19445164368 29167746552 38890328736 58335493104 116670986208