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11122384168 = 237327114957
BaseRepresentation
bin10100101101111001…
…00001110100101000
31001201010201122202101
422112330201310220
5140234312243133
65035355143144
7542423464000
oct122674416450
931633648671
1011122384168
114798328935
1221a4a44ab4
1310833a780c
1477724b000
154516b637d
hex296f21d28

11122384168 has 64 divisors (see below), whose sum is σ = 24411456000. Its totient is φ = 4748829120.

The previous prime is 11122384159. The next prime is 11122384241. The reversal of 11122384168 is 86148322111.

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, 736146 + ... + 751102.

It is an arithmetic number, because the mean of its divisors is an integer number (381429000).

Almost surely, 211122384168 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 11122384168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12205728000).

11122384168 is an abundant number, since it is smaller than the sum of its proper divisors (13289071832).

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

11122384168 is a wasteful number, since it uses less digits than its factorization.

11122384168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15255 (or 15237 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The spelling of 11122384168 in words is "eleven billion, one hundred twenty-two million, three hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 271 343 392 542 686 1084 1372 1897 2168 2744 3794 7588 13279 14957 15176 26558 29914 53116 59828 92953 104699 106232 119656 185906 209398 371812 418796 732893 743624 837592 1465786 2931572 4053347 5130251 5863144 8106694 10260502 16213388 20521004 28373429 32426776 41042008 56746858 113493716 198614003 226987432 397228006 794456012 1390298021 1588912024 2780596042 5561192084 11122384168