Search a number
-
+
104132522432 = 2617832235171
BaseRepresentation
bin110000011111011001…
…0000011000111000000
3100221210011201020022002
41200332302003013000
53201230411204212
6115500545203132
710344333556601
oct1407662030700
9327704636262
10104132522432
11401871043a4
12182219304a8
139a86a20aa3
14507bc2dda8
152a96e3aac2
hex183ec831c0

104132522432 has 112 divisors (see below), whose sum is σ = 222465180672. Its totient is φ = 48186716160.

The previous prime is 104132522419. The next prime is 104132522477. The reversal of 104132522432 is 234225231401.

It is a junction number, because it is equal to n+sod(n) for n = 104132522395 and 104132522404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20135207 + ... + 20140377.

It is an arithmetic number, because the mean of its divisors is an integer number (1986296256).

Almost surely, 2104132522432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104132522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111232590336).

104132522432 is an abundant number, since it is smaller than the sum of its proper divisors (118332658240).

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

104132522432 is a wasteful number, since it uses less digits than its factorization.

104132522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 104132522432 its reverse (234225231401), we get a palindrome (338357753833).

The spelling of 104132522432 in words is "one hundred four billion, one hundred thirty-two million, five hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 136 166 223 272 332 446 544 664 892 1088 1328 1411 1784 2656 2822 3568 3791 5171 5312 5644 7136 7582 10342 11288 14272 15164 18509 20684 22576 30328 37018 41368 45152 60656 74036 82736 87907 90304 121312 148072 165472 175814 242624 296144 314653 330944 351628 429193 592288 629306 703256 858386 1153133 1184576 1258612 1406512 1716772 2306266 2517224 2813024 3433544 4612532 5034448 5626048 6867088 7296281 9225064 10068896 13734176 14592562 18450128 19603261 20137792 27468352 29185124 36900256 39206522 58370248 73800512 78413044 95710039 116740496 156826088 191420078 233480992 313652176 382840156 466961984 627304352 765680312 1254608704 1531360624 1627070663 3062721248 3254141326 6125442496 6508282652 13016565304 26033130608 52066261216 104132522432