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11165802144 = 253717839319
BaseRepresentation
bin10100110011000100…
…01001111010100000
31001211011102112000120
422121202021322200
5140331421132034
65043545520240
7543461516010
oct123142117240
931734375016
1011165802144
11480a893462
1221b74a3080
13108c39a023
1477cd0dc40
154553e0c49
hex299889ea0

11165802144 has 96 divisors (see below), whose sum is σ = 33519790080. Its totient is φ = 3188097792.

The previous prime is 11165802133. The next prime is 11165802191. The reversal of 11165802144 is 44120856111.

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

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, 1193517 + ... + 1202835.

It is an arithmetic number, because the mean of its divisors is an integer number (349164480).

Almost surely, 211165802144 is an apocalyptic number.

11165802144 is a gapful number since it is divisible by the number (14) 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 11165802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759895040).

11165802144 is an abundant number, since it is smaller than the sum of its proper divisors (22353987936).

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

11165802144 is a wasteful number, since it uses less digits than its factorization.

11165802144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11165802144 in words is "eleven billion, one hundred sixty-five million, eight hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1783 3566 5349 7132 9319 10698 12481 14264 18638 21396 24962 27957 28528 37276 37443 42792 49924 55914 57056 65233 74552 74886 85584 99848 111828 130466 149104 149772 171168 195699 199696 223656 260932 298208 299544 391398 399392 447312 521864 599088 782796 894624 1043728 1198176 1565592 2087456 3131184 6262368 16615777 33231554 49847331 66463108 99694662 116310439 132926216 199389324 232620878 265852432 348931317 398778648 465241756 531704864 697862634 797557296 930483512 1395725268 1595114592 1860967024 2791450536 3721934048 5582901072 11165802144