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198104495616 = 2932295383337
BaseRepresentation
bin1011100001111111110…
…0101011011000000000
3200221100020120002022100
42320133330223120000
511221204222324431
6231001414510400
720212133300106
oct2703774533000
9627306502270
10198104495616
1177019906755
1232488965400
13158b1700951
149834467c76
155246d534e6
hex2e1ff2b600

198104495616 has 480 divisors, whose sum is σ = 611688036960. Its totient is φ = 61617733632.

The previous prime is 198104495579. The next prime is 198104495621. The reversal of 198104495616 is 616594401891.

198104495616 is a `hidden beast` number, since 1 + 9 + 8 + 10 + 4 + 4 + 9 + 5 + 616 = 666.

198104495616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 587847000 + ... + 587847336.

It is an arithmetic number, because the mean of its divisors is an integer number (1274350077).

Almost surely, 2198104495616 is an apocalyptic number.

198104495616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198104495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305844018480).

198104495616 is an abundant number, since it is smaller than the sum of its proper divisors (413583541344).

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

198104495616 is a wasteful number, since it uses less digits than its factorization.

198104495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 198104495616 in words is "one hundred ninety-eight billion, one hundred four million, four hundred ninety-five thousand, six hundred sixteen".