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2671636016196 = 223272389172
BaseRepresentation
bin100110111000001001111…
…010100110110001000100
3100110101221220111120122100
4212320021322212301010
5322233002310004241
65403155503432100
7364006426306200
oct46701172466104
910411856446570
102671636016196
11940041977654
123719455b5630
13164c1b572434
1493444b37b00
1549766dc19b6
hex26e09ea6c44

2671636016196 has 81 divisors (see below), whose sum is σ = 7856083962909. Its totient is φ = 763304961888.

The previous prime is 2671636016177. The next prime is 2671636016227. The reversal of 2671636016196 is 6916106361762.

It is a happy number.

The square root of 2671636016196 is 1634514.

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

2671636016196 is a `hidden beast` number, since 2 + 6 + 7 + 16 + 3 + 6 + 0 + 1 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 294686122500 + 2376949893696 = 542850^2 + 1541736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68630130 + ... + 68669046.

Almost surely, 22671636016196 is an apocalyptic number.

2671636016196 is the 1634514-th square number.

It is an amenable number.

2671636016196 is an abundant number, since it is smaller than the sum of its proper divisors (5184447946713).

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

2671636016196 is an frugal number, since it uses more digits than its factorization.

2671636016196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77858 (or 38929 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2671636016196 in words is "two trillion, six hundred seventy-one billion, six hundred thirty-six million, 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 38917 77834 116751 155668 233502 272419 350253 467004 544838 700506 817257 1089676 1401012 1634514 1906933 2451771 3269028 3813866 4903542 5720799 7627732 9807084 11441598 17162397 22883196 34324794 68649588 1514532889 3029065778 4543598667 6058131556 9087197334 10601730223 13630796001 18174394668 21203460446 27261592002 31805190669 42406920892 54523184004 63610381338 74212111561 95415572007 127220762676 148424223122 190831144014 222636334683 296848446244 381662288028 445272669366 667909004049 890545338732 1335818008098 2671636016196