Search a number
-
+
2104444233232 = 241128363166959
BaseRepresentation
bin11110100111111010101…
…001101010011000010000
321110011221100002122002121
4132213322221222120100
5233434400210430412
64250433543224024
7305020042560535
oct36477251523020
97404840078077
102104444233232
117415429a8110
1229ba32148014
131235a9a23403
1473bd9c60d8c
1539b1c48c107
hex1e9faa6a610

2104444233232 has 80 divisors (see below), whose sum is σ = 4470888130560. Its totient is φ = 951660662400.

The previous prime is 2104444233187. The next prime is 2104444233239. The reversal of 2104444233232 is 2323324444012.

It is not an unprimeable number, because it can be changed into a prime (2104444233239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31395369 + ... + 31462327.

It is an arithmetic number, because the mean of its divisors is an integer number (55886101632).

Almost surely, 22104444233232 is an apocalyptic number.

2104444233232 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 2104444233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235444065280).

2104444233232 is an abundant number, since it is smaller than the sum of its proper divisors (2366443897328).

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

2104444233232 is a wasteful number, since it uses less digits than its factorization.

2104444233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67892 (or 67886 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2104444233232 its reverse (2323324444012), we get a palindrome (4427768677244).

The spelling of 2104444233232 in words is "two trillion, one hundred four billion, four hundred forty-four million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 283 566 631 1132 1262 2264 2524 3113 4528 5048 6226 6941 10096 12452 13882 24904 27764 49808 55528 66959 111056 133918 178573 267836 357146 535672 714292 736549 1071344 1428584 1473098 1964303 2857168 2946196 3928606 5892392 7857212 11784784 15714424 18949397 31428848 37898794 42251129 75797588 84502258 151595176 169004516 208443367 303190352 338009032 416886734 464762419 676018064 833773468 929524838 1667546936 1859049676 3335093872 3718099352 7436198704 11957069507 23914139014 47828278028 95656556056 131527764577 191313112112 263055529154 526111058308 1052222116616 2104444233232