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134082018656 = 2517715696101
BaseRepresentation
bin111110011011111101…
…0010011110101100000
3110211002101222021111222
41330313322103311200
54144044444044111
6141332454554212
712454451232245
oct1746772236540
9424071867458
10134082018656
1151955893173
1221b9b968968
13c84a7b23a1
1466bd68d5cc
15374b3da7db
hex1f37e93d60

134082018656 has 96 divisors (see below), whose sum is σ = 283983174720. Its totient is φ = 62089216000.

The previous prime is 134082018643. The next prime is 134082018671. The reversal of 134082018656 is 656810280431.

It is a super-3 number, since 3×1340820186563 (a number of 34 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 15 ways as a sum of consecutive naturals, for example, 21974006 + ... + 21980106.

It is an arithmetic number, because the mean of its divisors is an integer number (2958158070).

Almost surely, 2134082018656 is an apocalyptic number.

134082018656 is a gapful number since it is divisible by the number (16) 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 134082018656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141991587360).

134082018656 is an abundant number, since it is smaller than the sum of its proper divisors (149901156064).

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

134082018656 is a wasteful number, since it uses less digits than its factorization.

134082018656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 134082018656 in words is "one hundred thirty-four billion, eighty-two million, eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 569 1136 1138 1207 2272 2276 2414 4552 4828 6101 9104 9656 9673 12202 18208 19312 19346 24404 38624 38692 40399 48808 77384 80798 97616 103717 154768 161596 195232 207434 309536 323192 414868 433171 646384 686783 829736 866342 1292768 1373566 1659472 1732684 2747132 3318944 3465368 3471469 5494264 6930736 6942938 7363907 10988528 13861472 13885876 14727814 21977056 27771752 29455628 55543504 58911256 59014973 111087008 117822512 118029946 235645024 236059892 246474299 472119784 492948598 944239568 985897196 1888479136 1971794392 3943588784 4190063083 7887177568 8380126166 16760252332 33520504664 67041009328 134082018656