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11073336032 = 2511139227997
BaseRepresentation
bin10100101000000010…
…11011001011100000
31001120201102202100202
422110001123023200
5140134233223112
65030444004332
7541256542343
oct122401331340
931521382322
1011073336032
114772678290
1221905306a8
131076193755
1477092045a
1544c2286c2
hex29405b2e0

11073336032 has 96 divisors (see below), whose sum is σ = 24083256960. Its totient is φ = 4970119680.

The previous prime is 11073336007. The next prime is 11073336037. The reversal of 11073336032 is 23063337011.

It is a junction number, because it is equal to n+sod(n) for n = 11073335986 and 11073336004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073336037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11106158 + ... + 11107154.

It is an arithmetic number, because the mean of its divisors is an integer number (250867260).

Almost surely, 211073336032 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 11073336032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041628480).

11073336032 is an abundant number, since it is smaller than the sum of its proper divisors (13009920928).

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

11073336032 is a wasteful number, since it uses less digits than its factorization.

11073336032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The spelling of 11073336032 in words is "eleven billion, seventy-three million, three hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 227 278 352 454 556 908 997 1112 1529 1816 1994 2224 2497 3058 3632 3988 4448 4994 6116 7264 7976 9988 10967 12232 15952 19976 21934 24464 31553 31904 39952 43868 48928 63106 79904 87736 126212 138583 175472 226319 252424 277166 347083 350944 452638 504848 554332 694166 905276 1009696 1108664 1388332 1524413 1810552 2217328 2489509 2776664 3048826 3621104 4434656 4979018 5553328 6097652 7242208 9958036 11106656 12195304 19916072 24390608 31458341 39832144 48781216 62916682 79664288 125833364 251666728 346041751 503333456 692083502 1006666912 1384167004 2768334008 5536668016 11073336032