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10959113328 = 243475778419
BaseRepresentation
bin10100011010011011…
…01100110001110000
31001021202111122021020
422031031230301300
5134421013111303
65011243455440
7535401632502
oct121515546160
931252448236
1010959113328
114714152059
12215a227580
131058610357
1475d6a9d72
154421b4a53
hex28d36cc70

10959113328 has 80 divisors (see below), whose sum is σ = 28966955520. Its totient is φ = 3568693248.

The previous prime is 10959113323. The next prime is 10959113357. The reversal of 10959113328 is 82331195901.

It is a self number, because there is not a number n which added to its sum of digits gives 10959113328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10959113323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297503 + ... + 1305921.

It is an arithmetic number, because the mean of its divisors is an integer number (362086944).

Almost surely, 210959113328 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 10959113328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483477760).

10959113328 is an abundant number, since it is smaller than the sum of its proper divisors (18007842192).

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

10959113328 is a wasteful number, since it uses less digits than its factorization.

10959113328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 10959113328 in words is "ten billion, nine hundred fifty-nine million, one hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 577 752 1128 1154 1731 2256 2308 3462 4616 6924 8419 9232 13848 16838 25257 27119 27696 33676 50514 54238 67352 81357 101028 108476 134704 162714 202056 216952 325428 395693 404112 433904 650856 791386 1187079 1301712 1582772 2374158 3165544 4748316 4857763 6331088 9496632 9715526 14573289 18993264 19431052 29146578 38862104 58293156 77724208 116586312 228314861 233172624 456629722 684944583 913259444 1369889166 1826518888 2739778332 3653037776 5479556664 10959113328