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191826084268 = 227133770920089
BaseRepresentation
bin1011001010100110111…
…0011100000110101100
3200100010200121202001201
42302221232130012230
511120324434144033
6224042414415244
716600425545620
oct2625156340654
9610120552051
10191826084268
1174397907345
1231216201524
1315120a55650
1493da6a5180
154ecaa7347d
hex2ca9b9c1ac

191826084268 has 96 divisors (see below), whose sum is σ = 424950108800. Its totient is φ = 73728423936.

The previous prime is 191826084251. The next prime is 191826084277. The reversal of 191826084268 is 862480628191.

191826084268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 9538768 + ... + 9558856.

Almost surely, 2191826084268 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 191826084268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212475054400).

191826084268 is an abundant number, since it is smaller than the sum of its proper divisors (233124024532).

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

191826084268 is a wasteful number, since it uses less digits than its factorization.

191826084268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20859 (or 20857 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 191826084268 in words is "one hundred ninety-one billion, eight hundred twenty-six million, eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 709 962 1036 1418 1924 2836 3367 4963 6734 9217 9926 13468 18434 19852 20089 26233 36868 40178 52466 64519 80356 104932 129038 140623 183631 258076 261157 281246 341029 367262 522314 562492 682058 734524 743293 1044628 1364116 1486586 1828099 2387203 2973172 3656198 4774406 5203051 7312396 9548812 9662809 10406102 14243101 19325618 20812204 28486202 38651236 56972404 67639663 99701707 135279326 185160313 199403414 270558652 370320626 398806828 526994737 740641252 1053989474 1296122191 2107978948 2592244382 3688963159 5184488764 6850931581 7377926318 13701863162 14755852636 27403726324 47956521067 95913042134 191826084268