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11130383664 = 24368311497
BaseRepresentation
bin10100101110110110…
…00010110100110000
31001201200210002000000
422113123002310300
5140243334234124
65040242430000
7542551462101
oct122733026460
931650702000
1011130383664
1147a18a1a94
1221a7662300
131084c4894a
147783303a8
154522466c9
hex2976c2d30

11130383664 has 140 divisors (see below), whose sum is σ = 32725285656. Its totient is φ = 3665108736.

The previous prime is 11130383617. The next prime is 11130383687. The reversal of 11130383664 is 46638303111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 962364 + ... + 973860.

Almost surely, 211130383664 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 11130383664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362642828).

11130383664 is an abundant number, since it is smaller than the sum of its proper divisors (21594901992).

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

11130383664 is an equidigital number, since it uses as much as digits as its factorization.

11130383664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 11585 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 11130383664 its reverse (46638303111), we get a palindrome (57768686775).

The spelling of 11130383664 in words is "eleven billion, one hundred thirty million, three hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 243 249 324 332 432 486 498 648 664 729 747 972 996 1296 1328 1458 1494 1944 1992 2241 2916 2988 3888 3984 4482 5832 5976 6723 8964 11497 11664 11952 13446 17928 20169 22994 26892 34491 35856 40338 45988 53784 60507 68982 80676 91976 103473 107568 121014 137964 161352 183952 206946 242028 275928 310419 322704 413892 484056 551856 620838 827784 931257 954251 968112 1241676 1655568 1862514 1908502 2483352 2793771 2862753 3725028 3817004 4966704 5587542 5725506 7450056 7634008 8381313 8588259 11175084 11451012 14900112 15268016 16762626 17176518 22350168 22902024 25764777 33525252 34353036 44700336 45804048 51529554 67050504 68706072 77294331 103059108 134101008 137412144 154588662 206118216 231882993 309177324 412236432 463765986 618354648 695648979 927531972 1236709296 1391297958 1855063944 2782595916 3710127888 5565191832 11130383664