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1998866112 = 26331418191
BaseRepresentation
bin111011100100100…
…0100011011000000
312011022012220211020
41313021010123000
513043202203422
6530202345440
7100351036665
oct16711043300
95138186736
101998866112
11936342771
124794bb280
1325b16b219
1414d681a6c
15ba73b95c
hex772446c0

1998866112 has 112 divisors (see below), whose sum is σ = 5593104384. Its totient is φ = 628992000.

The previous prime is 1998866057. The next prime is 1998866113. The reversal of 1998866112 is 2116688991.

It is not an unprimeable number, because it can be changed into a prime (1998866113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239937 + ... + 248127.

It is an arithmetic number, because the mean of its divisors is an integer number (49938432).

Almost surely, 21998866112 is an apocalyptic number.

1998866112 is a gapful number since it is divisible by the number (12) 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 1998866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796552192).

1998866112 is an abundant number, since it is smaller than the sum of its proper divisors (3594238272).

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

1998866112 is a wasteful number, since it uses less digits than its factorization.

1998866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8268 counting only the distinct ones).

The product of its digits is 373248, while the sum is 51.

The square root of 1998866112 is about 44708.6804994287. The cubic root of 1998866112 is about 1259.6829033240.

The spelling of 1998866112 in words is "one billion, nine hundred ninety-eight million, eight hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 164 186 192 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 1984 2542 2624 2976 3813 3936 5084 5952 7626 7872 8191 10168 15252 16382 20336 24573 30504 32764 40672 49146 61008 65528 81344 98292 122016 131056 196584 244032 253921 262112 335831 393168 507842 524224 671662 761763 786336 1007493 1015684 1343324 1523526 1572672 2014986 2031368 2686648 3047052 4029972 4062736 5373296 6094104 8059944 8125472 10410761 10746592 12188208 16119888 16250944 20821522 21493184 24376416 31232283 32239776 41643044 48752832 62464566 64479552 83286088 124929132 166572176 249858264 333144352 499716528 666288704 999433056 1998866112