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11005510032 = 2432116947923
BaseRepresentation
bin10100011111111101…
…01100000110010000
31001101222210211120200
422033332230012100
5140014402310112
65020022135200
7536504202036
oct121776540620
931358724520
1011005510032
114738361640
122171881500
13106510661a
14765906556
154462cbcdc
hex28ffac190

11005510032 has 60 divisors (see below), whose sum is σ = 33600160464. Its totient is φ = 3335002560.

The previous prime is 11005510027. The next prime is 11005510057. The reversal of 11005510032 is 23001550011.

11005510032 is a `hidden beast` number, since 110 + 0 + 551 + 0 + 0 + 3 + 2 = 666.

11005510032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110055100322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11005509987 and 11005510014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3472378 + ... + 3475545.

Almost surely, 211005510032 is an apocalyptic number.

11005510032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11005510032 is an abundant number, since it is smaller than the sum of its proper divisors (22594650432).

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

11005510032 is a wasteful number, since it uses less digits than its factorization.

11005510032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947948 (or 6947939 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 11005510032 in words is "eleven billion, five million, five hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6947923 13895846 20843769 27791692 41687538 55583384 62531307 76427153 83375076 111166768 125062614 152854306 166750152 229281459 250125228 305708612 333500304 458562918 500250456 611417224 687844377 917125836 1000500912 1222834448 1375688754 1834251672 2751377508 3668503344 5502755016 11005510032