Search a number
-
+
191091805290 = 235582795089
BaseRepresentation
bin1011000111110111110…
…1011000110001101010
3200021020111221111200000
42301331331120301222
511112324000232130
6223441504323430
716543301354601
oct2617575306152
9607214844600
10191091805290
1174050384711
1231050313576
13150348a3749
14936ad66a38
154e8637e260
hex2c7df58c6a

191091805290 has 96 divisors (see below), whose sum is σ = 515868575040. Its totient is φ = 50895661824.

The previous prime is 191091805283. The next prime is 191091805291. The reversal of 191091805290 is 92508190191.

191091805290 is a `hidden beast` number, since 1 + 9 + 109 + 18 + 0 + 529 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (191091805291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1962066 + ... + 2057154.

It is an arithmetic number, because the mean of its divisors is an integer number (5373630990).

Almost surely, 2191091805290 is an apocalyptic number.

191091805290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 191091805290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257934287520).

191091805290 is an abundant number, since it is smaller than the sum of its proper divisors (324776769750).

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

191091805290 is an equidigital number, since it uses as much as digits as its factorization.

191091805290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95938 (or 95926 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 191091805290 in words is "one hundred ninety-one billion, ninety-one million, eight hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 827 1215 1654 2430 2481 4135 4962 7443 8270 12405 14886 22329 24810 37215 44658 66987 74430 95089 111645 133974 190178 200961 223290 285267 334935 401922 475445 570534 669870 855801 950890 1004805 1426335 1711602 2009610 2567403 2852670 4279005 5134806 7702209 8558010 12837015 15404418 23106627 25674030 38511045 46213254 77022090 78638603 115533135 157277206 231066270 235915809 393193015 471831618 707747427 786386030 1179579045 1415494854 2123242281 2359158090 3538737135 4246484562 6369726843 7077474270 10616211405 12739453686 19109180529 21232422810 31848634215 38218361058 63697268430 95545902645 191091805290