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2383834383832 = 23111011032639901
BaseRepresentation
bin100010101100000111100…
…110100000010111011000
322102220002111221211111011
4202230013212200113120
5303024043100240312
65023041323543304
7334140431635546
oct42540746402730
98386074854434
102383834383832
11839a843aa520
1232600538ab34
13143a43a10655
1483541accd96
15420205b8da7
hex22b079a05d8

2383834383832 has 128 divisors (see below), whose sum is σ = 4991520568320. Its totient is φ = 1058270400000.

The previous prime is 2383834383817. The next prime is 2383834383907.

2383834383832 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23838343838322 (a number of 26 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240762082 + ... + 240771982.

It is an arithmetic number, because the mean of its divisors is an integer number (38996254440).

Almost surely, 22383834383832 is an apocalyptic number.

2383834383832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2383834383832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495760284160).

2383834383832 is an abundant number, since it is smaller than the sum of its proper divisors (2607686184488).

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

2383834383832 is a wasteful number, since it uses less digits than its factorization.

2383834383832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10381 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 58.

The spelling of 2383834383832 in words is "two trillion, three hundred eighty-three billion, eight hundred thirty-four million, three hundred eighty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 103 202 206 263 404 412 526 808 824 1052 1111 1133 2104 2222 2266 2893 4444 4532 5786 8888 9064 9901 10403 11572 19802 20806 23144 26563 27089 39604 41612 53126 54178 79208 83224 106252 108356 108911 114433 212504 216712 217822 228866 292193 297979 435644 457732 584386 595958 871288 915464 1000001 1019803 1168772 1191916 2000002 2039606 2337544 2383832 2603963 2735989 4000004 4079212 5207926 5471978 8000008 8158424 10415852 10943956 11000011 11217833 20831704 21887912 22000022 22435666 28643593 30095879 44000044 44871332 57287186 60191758 88000088 89742664 103000103 114574372 120383516 206000206 229148744 240767032 263000263 268208189 412000412 526000526 536416378 824000824 1052001052 1072832756 1133001133 2104002104 2145665512 2266002266 2893002893 2950290079 4532004532 5786005786 5900580158 9064009064 11572011572 11801160316 23144023144 23602320632 27089027089 54178054178 108356108356 216712216712 297979297979 595958595958 1191917191916 2383834383832