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10883066000 = 24535441533
BaseRepresentation
bin10100010001010111…
…00110100010010000
31001002110102000221112
422020223212202100
5134242031103000
64555525512452
7533456351252
oct121053464220
931073360845
1010883066000
114685230624
122138872728
131045935131
14753551cd2
1543a692235
hex288ae6890

10883066000 has 40 divisors (see below), whose sum is σ = 26315258424. Its totient is φ = 4353225600.

The previous prime is 10883065987. The next prime is 10883066017. The reversal of 10883066000 is 66038801.

It can be written as a sum of positive squares in 4 ways, for example, as 573506704 + 10309559296 = 23948^2 + 101536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×108830660002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2718767 + ... + 2722766.

Almost surely, 210883066000 is an apocalyptic number.

10883066000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10883066000 is an abundant number, since it is smaller than the sum of its proper divisors (15432192424).

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

10883066000 is an equidigital number, since it uses as much as digits as its factorization.

10883066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441556 (or 5441540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10883066000 in words is "ten billion, eight hundred eighty-three million, sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5441533 10883066 21766132 27207665 43532264 54415330 87064528 108830660 136038325 217661320 272076650 435322640 544153300 680191625 1088306600 1360383250 2176613200 2720766500 5441533000 10883066000