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198054124128 = 2532798241133
BaseRepresentation
bin1011100001110011110…
…0100001101001100000
3200221012201202221121200
42320130330201221200
511221103323433003
6230552415121200
720210652164340
oct2703474415140
9627181687550
10198054124128
1176aa3431923
1232473b13200
13158a4145433
14982b8b4d20
1552427036a3
hex2e1cf21a60

198054124128 has 72 divisors (see below), whose sum is σ = 643675909968. Its totient is φ = 56586892032.

The previous prime is 198054124097. The next prime is 198054124141. The reversal of 198054124128 is 821421450891.

198054124128 is a `hidden beast` number, since 1 + 9 + 80 + 541 + 2 + 4 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49118551 + ... + 49122582.

It is an arithmetic number, because the mean of its divisors is an integer number (8939943194).

Almost surely, 2198054124128 is an apocalyptic number.

198054124128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198054124128 is an abundant number, since it is smaller than the sum of its proper divisors (445621785840).

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

198054124128 is a wasteful number, since it uses less digits than its factorization.

198054124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98241156 (or 98241145 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 198054124128 in words is "one hundred ninety-eight billion, fifty-four million, one hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 98241133 196482266 294723399 392964532 589446798 687687931 785929064 884170197 1178893596 1375375862 1571858128 1768340394 2063063793 2357787192 2750751724 3143716256 3536680788 4126127586 4715574384 5501503448 6189191379 7073361576 8252255172 9431148768 11003006896 12378382758 14146723152 16504510344 22006013792 24756765516 28293446304 33009020688 49513531032 66018041376 99027062064 198054124128