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198048390144 = 2103115860807
BaseRepresentation
bin1011100001110010011…
…0101001110000000000
3200221012022222122001220
42320130212221300000
511221100341441034
6230552052155040
720210552353233
oct2703446516000
9627168878056
10198048390144
1176aa01758a0
1232472008a80
13158a2bb8547
14982ac2141a
155241e6e749
hex2e1c9a9c00

198048390144 has 88 divisors (see below), whose sum is σ = 575859550848. Its totient is φ = 60014653440.

The previous prime is 198048390079. The next prime is 198048390149. The reversal of 198048390144 is 441093840891.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198048390149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2896612 + ... + 2964195.

Almost surely, 2198048390144 is an apocalyptic number.

It is an amenable number.

198048390144 is an abundant number, since it is smaller than the sum of its proper divisors (377811160704).

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

198048390144 is a wasteful number, since it uses less digits than its factorization.

198048390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860841 (or 5860823 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 198048390144 in words is "one hundred ninety-eight billion, forty-eight million, three hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 5860807 11721614 17582421 23443228 35164842 46886456 64468877 70329684 93772912 128937754 140659368 187545824 193406631 257875508 281318736 375091648 386813262 515751016 562637472 750183296 773626524 1031502032 1125274944 1500366592 1547253048 2063004064 2250549888 3000733184 3094506096 4126008128 4501099776 6001466368 6189012192 8252016256 9002199552 12378024384 16504032512 18004399104 24756048768 33008065024 49512097536 66016130048 99024195072 198048390144