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11185884048 = 2435310342689
BaseRepresentation
bin10100110101011101…
…10000101110010000
31001212120012210012210
422122232300232100
5140402041242143
65045544152120
7544124305563
oct123256605620
931776183183
1011185884048
11482015a279
122202168640
1310935ab801
1478185a4da
1545705b033
hex29abb0b90

11185884048 has 80 divisors (see below), whose sum is σ = 29728632960. Its totient is φ = 3622674432.

The previous prime is 11185884013. The next prime is 11185884049. The reversal of 11185884048 is 84048858111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11185883988 and 11185884006.

It is not an unprimeable number, because it can be changed into a prime (11185884049) 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, 240688 + ... + 283376.

It is an arithmetic number, because the mean of its divisors is an integer number (371607912).

Almost surely, 211185884048 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 11185884048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864316480).

11185884048 is an abundant number, since it is smaller than the sum of its proper divisors (18542748912).

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

11185884048 is a wasteful number, since it uses less digits than its factorization.

11185884048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42856 (or 42850 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 48.

The spelling of 11185884048 in words is "eleven billion, one hundred eighty-five million, eight hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 103 106 159 206 212 309 318 412 424 618 636 824 848 1236 1272 1648 2472 2544 4944 5459 10918 16377 21836 32754 42689 43672 65508 85378 87344 128067 131016 170756 256134 262032 341512 512268 683024 1024536 2049072 2262517 4396967 4525034 6787551 8793934 9050068 13190901 13575102 17587868 18100136 26381802 27150204 35175736 36200272 52763604 54300408 70351472 105527208 108600816 211054416 233039251 466078502 699117753 932157004 1398235506 1864314008 2796471012 3728628016 5592942024 11185884048