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216677216196 = 223272110832
BaseRepresentation
bin1100100111001011110…
…1111110111111000100
3202201021121102001021100
43021302331332333010
512022223331404241
6243312400420100
721440314643400
oct3116275767704
9681247361240
10216677216196
118398a704601
1235bb0917630
131758149823c
14a6b6d7a100
15598263b9b6
hex3272f7efc4

216677216196 has 81 divisors (see below), whose sum is σ = 637191687951. Its totient is φ = 61902190224.

The previous prime is 216677216159. The next prime is 216677216201. The reversal of 216677216196 is 691612776612.

The square root of 216677216196 is 465486.

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

216677216196 is a `hidden beast` number, since 2 + 16 + 6 + 7 + 7 + 2 + 1 + 619 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 19544871 + ... + 19555953.

Almost surely, 2216677216196 is an apocalyptic number.

216677216196 is the 465486-th square number.

It is an amenable number.

216677216196 is an abundant number, since it is smaller than the sum of its proper divisors (420514471755).

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

216677216196 is an equidigital number, since it uses as much as digits as its factorization.

216677216196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22190 (or 11095 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 216677216196 in words is "two hundred sixteen billion, six hundred seventy-seven million, two hundred sixteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 11083 22166 33249 44332 66498 77581 99747 132996 155162 199494 232743 310324 398988 465486 543067 698229 930972 1086134 1396458 1629201 2172268 2792916 3258402 4887603 6516804 9775206 19550412 122832889 245665778 368498667 491331556 736997334 859830223 1105496001 1473994668 1719660446 2210992002 2579490669 3439320892 4421984004 5158981338 6018811561 7738472007 10317962676 12037623122 15476944014 18056434683 24075246244 30953888028 36112869366 54169304049 72225738732 108338608098 216677216196