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198885996000 = 25335319103941
BaseRepresentation
bin1011100100111010000…
…1110111010111100000
3201000100201002102022000
42321032201313113200
511224304303333000
6231211133044000
720240403033636
oct2711641672740
9630321072260
10198885996000
117738aa6153a
1232666626600
13159a75a7303
1498aa179356
155290774000
hex2e4e8775e0

198885996000 has 768 divisors, whose sum is σ = 770263603200. Its totient is φ = 49704192000.

The previous prime is 198885995953. The next prime is 198885996053. The reversal of 198885996000 is 699588891.

198885996000 is a `hidden beast` number, since 19 + 8 + 8 + 8 + 5 + 9 + 9 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211355530 + ... + 211356470.

It is an arithmetic number, because the mean of its divisors is an integer number (1002947400).

Almost surely, 2198885996000 is an apocalyptic number.

198885996000 is a gapful number since it is divisible by the number (10) 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 198885996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385131801600).

198885996000 is an abundant number, since it is smaller than the sum of its proper divisors (571377607200).

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

198885996000 is a wasteful number, since it uses less digits than its factorization.

198885996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 198885996000 in words is "one hundred ninety-eight billion, eight hundred eighty-five million, nine hundred ninety-six thousand".