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198083274912 = 2532687789149
BaseRepresentation
bin1011100001111010101…
…1101110100010100000
3200221021202121221222100
42320132223232202200
511221133304244122
6230555340010400
720211455025135
oct2703653564240
9627252557870
10198083274912
1177008932286
1232481830a00
13158aa1b0a13
14983170258c
155245060aac
hex2e1eaee8a0

198083274912 has 36 divisors (see below), whose sum is σ = 563299313850. Its totient is φ = 66027758208.

The previous prime is 198083274911. The next prime is 198083274929. The reversal of 198083274912 is 219472380891.

198083274912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175966826256 + 22116448656 = 419484^2 + 148716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (198083274911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 343894287 + ... + 343894862.

Almost surely, 2198083274912 is an apocalyptic number.

198083274912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198083274912 is an abundant number, since it is smaller than the sum of its proper divisors (365216038938).

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

198083274912 is a wasteful number, since it uses less digits than its factorization.

198083274912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687789165 (or 687789154 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 198083274912 in words is "one hundred ninety-eight billion, eighty-three million, two hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 687789149 1375578298 2063367447 2751156596 4126734894 5502313192 6190102341 8253469788 11004626384 12380204682 16506939576 22009252768 24760409364 33013879152 49520818728 66027758304 99041637456 198083274912