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198070385436 = 2232721133130839
BaseRepresentation
bin1011100001110111101…
…0100011101100011100
3200221020212101002221100
42320131322203230130
511221122004313221
6230554155433100
720211240332400
oct2703572435434
9627225332840
10198070385436
1177001629220
1232479455790
13158a7619c01
14982db09100
155243d66926
hex2e1dea3b1c

198070385436 has 216 divisors, whose sum is σ = 637308846720. Its totient is φ = 51289761600.

The previous prime is 198070385417. The next prime is 198070385459. The reversal of 198070385436 is 634583070891.

198070385436 is a `hidden beast` number, since 1 + 98 + 0 + 7 + 0 + 3 + 8 + 543 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6407305 + ... + 6438143.

It is an arithmetic number, because the mean of its divisors is an integer number (2950503920).

Almost surely, 2198070385436 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 198070385436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318654423360).

198070385436 is an abundant number, since it is smaller than the sum of its proper divisors (439238461284).

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

198070385436 is a wasteful number, since it uses less digits than its factorization.

198070385436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31205 (or 31193 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 198070385436 in words is "one hundred ninety-eight billion, seventy million, three hundred eighty-five thousand, four hundred thirty-six".