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198049241016 = 233211192709977
BaseRepresentation
bin1011100001110010100…
…1111001011110111000
3200221012101120212020200
42320130221321132320
511221101101203031
6230552122322200
720210562526014
oct2703451713670
9627171525220
10198049241016
1176aa06a70a0
1232472359360
13158a3125913
14982ada3544
15524208b8e6
hex2e1ca797b8

198049241016 has 288 divisors, whose sum is σ = 619067545200. Its totient is φ = 56717936640.

The previous prime is 198049240981. The next prime is 198049241081. The reversal of 198049241016 is 610142940891.

It is a happy number.

198049241016 is a `hidden beast` number, since 198 + 0 + 49 + 2 + 410 + 1 + 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, 202711120 + ... + 202712096.

Almost surely, 2198049241016 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 198049241016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309533772600).

198049241016 is an abundant number, since it is smaller than the sum of its proper divisors (421018304184).

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

198049241016 is a wasteful number, since it uses less digits than its factorization.

198049241016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 198049241016 in words is "one hundred ninety-eight billion, forty-nine million, two hundred forty-one thousand, sixteen".