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11093384352 = 253896831901
BaseRepresentation
bin10100101010011011…
…11001110010100000
31001122010011022111010
422111031321302200
5140204401244402
65032441420520
7541622132301
oct122515716240
931563138433
1011093384352
114782a20946
12219719a740
13107a392b6b
1477345c7a8
1544dd88a6c
hex295379ca0

11093384352 has 96 divisors (see below), whose sum is σ = 29505954240. Its totient is φ = 3648972800.

The previous prime is 11093384329. The next prime is 11093384381. The reversal of 11093384352 is 25348339011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11093384352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5834602 + ... + 5836502.

It is an arithmetic number, because the mean of its divisors is an integer number (307353690).

Almost surely, 211093384352 is an apocalyptic number.

11093384352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11093384352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752977120).

11093384352 is an abundant number, since it is smaller than the sum of its proper divisors (18412569888).

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

11093384352 is a wasteful number, since it uses less digits than its factorization.

11093384352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 11093384352 in words is "eleven billion, ninety-three million, three hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 683 712 1068 1366 1424 1901 2049 2136 2732 2848 3802 4098 4272 5464 5703 7604 8196 8544 10928 11406 15208 16392 21856 22812 30416 32784 45624 60787 60832 65568 91248 121574 169189 182361 182496 243148 338378 364722 486296 507567 676756 729444 972592 1015134 1298383 1353512 1458888 1945184 2030268 2596766 2707024 2917776 3895149 4060536 5193532 5414048 5835552 7790298 8121072 10387064 15580596 16242144 20774128 31161192 41548256 62322384 115556087 124644768 231112174 346668261 462224348 693336522 924448696 1386673044 1848897392 2773346088 3697794784 5546692176 11093384352