Search a number
-
+
11375525682 = 2331998311279
BaseRepresentation
bin10101001100000100…
…01011111100110010
31002100210001120122000
422212002023330302
5141244113310212
65120440554430
7551616241623
oct124602137462
932323046560
1011375525682
1149082078a4
122255782a16
1310c397a0b1
1479cb03a4a
15468a1b1dc
hex2a608bf32

11375525682 has 64 divisors (see below), whose sum is σ = 26638848000. Its totient is φ = 3588298704.

The previous prime is 11375525617. The next prime is 11375525699. The reversal of 11375525682 is 28652557311.

11375525682 is a `hidden beast` number, since 1 + 1 + 37 + 5 + 52 + 568 + 2 = 666.

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, 1002919 + ... + 1014197.

It is an arithmetic number, because the mean of its divisors is an integer number (416232000).

Almost surely, 211375525682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11375525682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319424000).

11375525682 is an abundant number, since it is smaller than the sum of its proper divisors (15263322318).

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

11375525682 is a wasteful number, since it uses less digits than its factorization.

11375525682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12292 (or 12286 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 11375525682 in words is "eleven billion, three hundred seventy-five million, five hundred twenty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 983 1026 1966 2949 5898 8847 11279 17694 18677 22558 26541 33837 37354 53082 56031 67674 101511 112062 168093 203022 214301 304533 336186 428602 504279 609066 642903 1008558 1285806 1928709 3857418 5786127 11087257 11572254 22174514 33261771 66523542 99785313 199570626 210657883 299355939 421315766 598711878 631973649 1263947298 1895920947 3791841894 5687762841 11375525682