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116039282688 = 212327449681
BaseRepresentation
bin110110000010001111…
…0101111000000000000
3102002111222101022202200
41230010132233000000
53400122024021223
6125150244313200
711245363425420
oct1540436570000
9362458338680
10116039282688
114523717162a
121a5a53a2800
13ac3376ab64
14588b2da480
1530423dea43
hex1b047af000

116039282688 has 156 divisors (see below), whose sum is σ = 383067907248. Its totient is φ = 33154007040.

The previous prime is 116039282659. The next prime is 116039282693. The reversal of 116039282688 is 886282930611.

116039282688 is a `hidden beast` number, since 1 + 1 + 603 + 9 + 2 + 8 + 26 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33208 + ... + 482888.

It is an arithmetic number, because the mean of its divisors is an integer number (2455563508).

Almost surely, 2116039282688 is an apocalyptic number.

116039282688 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 116039282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191533953624).

116039282688 is an abundant number, since it is smaller than the sum of its proper divisors (267028624560).

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

116039282688 is an equidigital number, since it uses as much as digits as its factorization.

116039282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449718 (or 449693 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 116039282688 in words is "one hundred sixteen billion, thirty-nine million, two hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 43008 64512 86016 129024 258048 449681 899362 1349043 1798724 2698086 3147767 3597448 4047129 5396172 6295534 7194896 8094258 9443301 10792344 12591068 14389792 16188516 18886602 21584688 25182136 28329903 28779584 32377032 37773204 43169376 50364272 56659806 57559168 64754064 75546408 86338752 100728544 113319612 115118336 129508128 151092816 172677504 201457088 226639224 230236672 259016256 302185632 345355008 402914176 453278448 460473344 518032512 604371264 690710016 805828352 906556896 920946688 1036065024 1208742528 1381420032 1611656704 1813113792 1841893376 2072130048 2417485056 2762840064 3223313408 3626227584 4144260096 4834970112 5525680128 6446626816 7252455168 8288520192 9669940224 12893253632 14504910336 16577040384 19339880448 29009820672 38679760896 58019641344 116039282688