Search a number
-
+
116823956382 = 23273179378593
BaseRepresentation
bin110110011001101000…
…0000001101110011110
3102011112122212212201100
41230303100001232132
53403223413101012
6125400154453530
711304002150010
oct1546320015636
9364478785640
10116823956382
11455aa094591
121a7841342a6
13b02a1b5a13
1459235d61b0
15308b23a8dc
hex1b33401b9e

116823956382 has 96 divisors (see below), whose sum is σ = 302390599680. Its totient is φ = 31892590080.

The previous prime is 116823956309. The next prime is 116823956393. The reversal of 116823956382 is 283659328611.

116823956382 is a `hidden beast` number, since 11 + 68 + 2 + 3 + 9 + 563 + 8 + 2 = 666.

It is a super-3 number, since 3×1168239563823 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119278 + ... + 497870.

It is an arithmetic number, because the mean of its divisors is an integer number (3149902080).

Almost surely, 2116823956382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116823956382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151195299840).

116823956382 is an abundant number, since it is smaller than the sum of its proper divisors (185566643298).

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

116823956382 is a wasteful number, since it uses less digits than its factorization.

116823956382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378718 (or 378715 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

It can be divided in two parts, 11682 and 3956382, that added together give a square (3968064 = 19922).

The spelling of 116823956382 in words is "one hundred sixteen billion, eight hundred twenty-three million, nine hundred fifty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 79 93 126 158 186 217 237 279 434 474 553 558 651 711 1106 1302 1422 1659 1953 2449 3318 3906 4898 4977 7347 9954 14694 17143 22041 34286 44082 51429 102858 154287 308574 378593 757186 1135779 2271558 2650151 3407337 5300302 6814674 7950453 11736383 15900906 23472766 23851359 29908847 35209149 47702718 59817694 70418298 82154681 89726541 105627447 164309362 179453082 209361929 211254894 246464043 269179623 418723858 492928086 538359246 628085787 739392129 927174257 1256171574 1478784258 1854348514 1884257361 2781522771 3768514722 5563045542 6490219799 8344568313 12980439598 16689136626 19470659397 38941318794 58411978191 116823956382