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206216090771076 = 2232241299312
BaseRepresentation
bin101110111000110101101100…
…110101100101111010000100
31000001011001202221002011021100
4232320311230311211322010
5204012121023214133301
62010330210403420100
761302422653140021
oct5670655465457204
91001131687064240
10206216090771076
115a78583121a411
121b166087684630
138b0b12b455c59
1438cccaa934548
1518c9248e22286
hexbb8d6cd65e84

206216090771076 has 81 divisors (see below), whose sum is σ = 523493079185349. Its totient is φ = 68446581206400.

The previous prime is 206216090771063. The next prime is 206216090771099. The reversal of 206216090771076 is 670177090612602.

The square root of 206216090771076 is 14360226.

It is a perfect power (a square), and thus also a powerful number.

206216090771076 is a `hidden beast` number, since 2 + 0 + 6 + 21 + 609 + 0 + 7 + 7 + 1 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155089014668676 + 51127076102400 = 12453474^2 + 7150320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20764881831 + ... + 20764891761.

Almost surely, 2206216090771076 is an apocalyptic number.

206216090771076 is the 14360226-th square number.

It is an amenable number.

206216090771076 is an abundant number, since it is smaller than the sum of its proper divisors (317276988414273).

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

206216090771076 is an frugal number, since it uses more digits than its factorization.

206216090771076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20354 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 206216090771076 in words is "two hundred six trillion, two hundred sixteen billion, ninety million, seven hundred seventy-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 9931 19862 29793 39724 58081 59586 89379 116162 119172 174243 178758 232324 348486 357516 522729 696972 1045458 2090916 2393371 4786742 7180113 9573484 14360226 21540339 28720452 43080678 86161356 98624761 197249522 295874283 394499044 576802411 591748566 887622849 1153604822 1183497132 1730407233 1775245698 2307209644 3460814466 3550491396 5191221699 6921628932 10382443398 20764886796 23768567401 47537134802 71305702203 95074269604 142611404406 213917106609 285222808812 427834213218 855668426436 5728224743641 11456449487282 17184674230923 22912898974564 34369348461846 51554022692769 68738696923692 103108045385538 206216090771076