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11156566144 = 275315110891
BaseRepresentation
bin10100110001111101…
…11011000010000000
31001210112001021121111
422120332323002000
5140322040104034
65043015533104
7543320150623
oct123076730200
931715037544
1011156566144
1148056552a9
1221b438a194
13108a4b5139
1477b9c7dba
154546b9364
hex298fbb080

11156566144 has 64 divisors (see below), whose sum is σ = 22797391680. Its totient is φ = 5436288000.

The previous prime is 11156566123. The next prime is 11156566153. The reversal of 11156566144 is 44166565111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11156566097 and 11156566106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018939 + ... + 1029829.

It is an arithmetic number, because the mean of its divisors is an integer number (356209245).

Almost surely, 211156566144 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 11156566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398695840).

11156566144 is an abundant number, since it is smaller than the sum of its proper divisors (11640825536).

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

11156566144 is a wasteful number, since it uses less digits than its factorization.

11156566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11097 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The spelling of 11156566144 in words is "eleven billion, one hundred fifty-six million, five hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 151 212 302 424 604 848 1208 1696 2416 3392 4832 6784 8003 9664 10891 16006 19328 21782 32012 43564 64024 87128 128048 174256 256096 348512 512192 577223 697024 1024384 1154446 1394048 1644541 2308892 3289082 4617784 6578164 9235568 13156328 18471136 26312656 36942272 52625312 73884544 87160673 105250624 174321346 210501248 348642692 697285384 1394570768 2789141536 5578283072 11156566144