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11282833680 = 2435421111667
BaseRepresentation
bin10101000001000001…
…00110000100010000
31002010022122100002220
422200200212010100
5141101401134210
65103330141040
7546412334556
oct124040460420
932108570086
1011282833680
11486a957a38
12222a721780
1310aa6c4a61
14790695bd6
1546080bc70
hex2a0826110

11282833680 has 80 divisors (see below), whose sum is σ = 35060178624. Its totient is φ = 3001582080.

The previous prime is 11282833657. The next prime is 11282833733. The reversal of 11282833680 is 8633828211.

It is a tau number, because it is divible by the number of its divisors (80).

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, 45207 + ... + 156873.

Almost surely, 211282833680 is an apocalyptic number.

11282833680 is a gapful number since it is divisible by the number (10) 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 11282833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530089312).

11282833680 is an abundant number, since it is smaller than the sum of its proper divisors (23777344944).

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

11282833680 is a wasteful number, since it uses less digits than its factorization.

11282833680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112104 (or 112098 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 11282833680 in words is "eleven billion, two hundred eighty-two million, eight hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 25260 33680 50520 101040 111667 223334 335001 446668 558335 670002 893336 1116670 1340004 1675005 1786672 2233340 2680008 3350010 4466680 5360016 6700020 8933360 13400040 26800080 47011807 94023614 141035421 188047228 235059035 282070842 376094456 470118070 564141684 705177105 752188912 940236140 1128283368 1410354210 1880472280 2256566736 2820708420 3760944560 5641416840 11282833680