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8680271212900 = 225272420892
BaseRepresentation
bin111111001010000100001…
…1110110111000101100100
31010201211022000200120111201
41332110020132313011210
52114204143412303100
630243354521012244
71554062132631100
oct176241036670544
933654260616451
108680271212900
112847311895101
12b82365324084
134ac713915381
142201ad6da900
15100bd8ec636a
hex7e5087b7164

8680271212900 has 81 divisors (see below), whose sum is σ = 21912005230059. Its totient is φ = 2976022277760.

The previous prime is 8680271212883. The next prime is 8680271212967. The reversal of 8680271212900 is 92121720868.

The square root of 8680271212900 is 2946230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2492236857124 + 6188034355776 = 1578682^2 + 2487576^2 .

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, 206215056 + ... + 206257144.

Almost surely, 28680271212900 is an apocalyptic number.

8680271212900 is the 2946230-th square number.

It is an amenable number.

8680271212900 is an abundant number, since it is smaller than the sum of its proper divisors (13231734017159).

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

8680271212900 is an frugal number, since it uses more digits than its factorization.

8680271212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84206 (or 42103 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 8680271212900 in words is "eight trillion, six hundred eighty billion, two hundred seventy-one million, two hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 42089 84178 168356 210445 294623 420890 589246 841780 1052225 1178492 1473115 2062361 2104450 2946230 4124722 4208900 5892460 7365575 8249444 10311805 14731150 20623610 29462300 41247220 51559025 103118050 206236100 1771483921 3542967842 7085935684 8857419605 12400387447 17714839210 24800774894 35429678420 44287098025 49601549788 62001937235 86802712129 88574196050 124003874470 173605424258 177148392100 248007748940 310009686175 347210848516 434013560645 620019372350 868027121290 1240038744700 1736054242580 2170067803225 4340135606450 8680271212900