Search a number
-
+
12563758340 = 2257123172901
BaseRepresentation
bin10111011001101101…
…11011110100000100
31012102120221001101222
423230312323310010
5201212310231330
65434404535512
7623225120030
oct135466736404
935376831358
1012563758340
115367a06661
1225276b1598
131252bb1443
1487284d1c0
154d7ed00e5
hex2ecdbbd04

12563758340 has 48 divisors (see below), whose sum is σ = 30177928704. Its totient is φ = 4304016000.

The previous prime is 12563758321. The next prime is 12563758343. The reversal of 12563758340 is 4385736521.

It is a junction number, because it is equal to n+sod(n) for n = 12563758291 and 12563758300.

It is not an unprimeable number, because it can be changed into a prime (12563758343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 135890 + ... + 208790.

It is an arithmetic number, because the mean of its divisors is an integer number (628706848).

Almost surely, 212563758340 is an apocalyptic number.

12563758340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12563758340 is an abundant number, since it is smaller than the sum of its proper divisors (17614170364).

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

12563758340 is a wasteful number, since it uses less digits than its factorization.

12563758340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74148 (or 74146 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 12563758340 in words is "twelve billion, five hundred sixty-three million, seven hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1231 2462 4924 6155 8617 12310 17234 24620 34468 43085 72901 86170 145802 172340 291604 364505 510307 729010 1020614 1458020 2041228 2551535 5103070 10206140 89741131 179482262 358964524 448705655 628187917 897411310 1256375834 1794822620 2512751668 3140939585 6281879170 12563758340