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198380690801664 = 210374310311318433
BaseRepresentation
bin101101000110110100011010…
…100110110000010000000000
3222000102000020102200200002020
4231012310122212300100000
5202000232123321123124
61541530455313321440
756533350311244540
oct5506643246602000
9860360212620066
10198380690801664
1158234862202408
121a2bb60bb66280
1386902acb298c7
1436db968ab3320
1517e050c6e6379
hexb46d1a9b0400

198380690801664 has 704 divisors, whose sum is σ = 629909663944704. Its totient is φ = 54336436568064.

The previous prime is 198380690801641. The next prime is 198380690801677. The reversal of 198380690801664 is 466108096083891.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10762248192 + ... + 10762266624.

It is an arithmetic number, because the mean of its divisors is an integer number (894758045376).

Almost surely, 2198380690801664 is an apocalyptic number.

198380690801664 is a gapful number since it is divisible by the number (14) 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 198380690801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314954831972352).

198380690801664 is an abundant number, since it is smaller than the sum of its proper divisors (431528973143040).

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

198380690801664 is a wasteful number, since it uses less digits than its factorization.

198380690801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18722 (or 18704 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 198380690801664 in words is "one hundred ninety-eight trillion, three hundred eighty billion, six hundred ninety million, eight hundred one thousand, six hundred sixty-four".