Search a number
-
+
827842944162 = 231331379979281
BaseRepresentation
bin11000000101111110100…
…10001101110010100010
32221010210210112212000210
430002333102031302202
5102030410243203122
61432150015154550
7113544501631233
oct14027722156242
92833723485023
10827842944162
1129a0a483a853
12114536b15a56
13600b0497a70
142c0d411108a
151680288340c
hexc0bf48dca2

827842944162 has 128 divisors (see below), whose sum is σ = 1892408813568. Its totient is φ = 239575449600.

The previous prime is 827842944121. The next prime is 827842944191. The reversal of 827842944162 is 261449248728.

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 63 ways as a sum of consecutive naturals, for example, 89192962 + ... + 89202242.

It is an arithmetic number, because the mean of its divisors is an integer number (14784443856).

Almost surely, 2827842944162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827842944162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946204406784).

827842944162 is an abundant number, since it is smaller than the sum of its proper divisors (1064565869406).

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

827842944162 is a wasteful number, since it uses less digits than its factorization.

827842944162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10364.

The product of its digits is 12386304, while the sum is 57.

The spelling of 827842944162 in words is "eight hundred twenty-seven billion, eight hundred forty-two million, nine hundred forty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 13 26 31 37 39 62 74 78 93 111 186 222 403 481 806 962 997 1147 1209 1443 1994 2294 2418 2886 2991 3441 5982 6882 9281 12961 14911 18562 25922 27843 29822 30907 36889 38883 44733 55686 61814 73778 77766 89466 92721 110667 120653 185442 221334 241306 287711 343397 361959 401791 479557 575422 686794 723918 803582 863133 959114 1030191 1143559 1205373 1438671 1726266 2060382 2287118 2410746 2877342 3430677 3740243 4464161 6861354 7480486 8928322 9253157 10645307 11220729 13392483 14866267 18506314 21290614 22441458 26784966 27759471 29732534 31935921 44598801 55518942 63871842 89197602 120291041 138388991 240582082 276777982 286847867 342366809 360873123 415166973 573695734 684733618 721746246 830333946 860543601 1027100427 1721087202 2054200854 3729022271 4450768517 7458044542 8901537034 10613371079 11187066813 13352305551 21226742158 22374133626 26704611102 31840113237 63680226474 137973824027 275947648054 413921472081 827842944162