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206688327851196 = 223328140916651853
BaseRepresentation
bin101110111111101101100000…
…010111000101110010111100
31000002211012200221110102011000
4232333231200113011302330
5204042340143412214241
62011331150151130300
761351511305114122
oct5677554027056274
91002735627412130
10206688327851196
115a94803379a224
121b2216ba973990
138b43819823a89
143907aa887d912
1518d668751eeb6
hexbbfb605c5cbc

206688327851196 has 96 divisors (see below), whose sum is σ = 539080460654400. Its totient is φ = 68483072609280.

The previous prime is 206688327851179. The next prime is 206688327851233. The reversal of 206688327851196 is 691158723886602.

206688327851196 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 8 + 32 + 78 + 511 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4086406 + ... + 20738258.

It is an arithmetic number, because the mean of its divisors is an integer number (5615421465150).

Almost surely, 2206688327851196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206688327851196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269540230327200).

206688327851196 is an abundant number, since it is smaller than the sum of its proper divisors (332392132803204).

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

206688327851196 is a wasteful number, since it uses less digits than its factorization.

206688327851196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16652556 (or 16652548 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 206688327851196 in words is "two hundred six trillion, six hundred eighty-eight billion, three hundred twenty-seven million, eight hundred fifty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 409 562 818 843 1124 1227 1636 1686 2454 2529 3372 3681 4908 5058 7362 7587 10116 11043 14724 15174 22086 30348 44172 114929 229858 344787 459716 689574 1034361 1379148 2068722 3103083 4137444 6206166 12412332 16651853 33303706 49955559 66607412 99911118 149866677 199822236 299733354 449600031 599466708 899200062 1798400124 4679170693 6810607877 9358341386 13621215754 14037512079 18716682772 20431823631 27242431508 28075024158 40863647262 42112536237 56150048316 61295470893 81727294524 84225072474 122590941786 126337608711 168450144948 183886412679 245181883572 252675217422 367772825358 505350434844 735545650716 1913780813437 3827561626874 5741342440311 7655123253748 11482684880622 17224027320933 22965369761244 34448054641866 51672081962799 68896109283732 103344163925598 206688327851196