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198285984480 = 2535172331173197
BaseRepresentation
bin1011100010101011000…
…1000000001011100000
3200221210220001200020010
42320222301000023200
511222042203000410
6231031420444520
720216466026133
oct2705261001340
9627726050203
10198285984480
11771022a5a51
12325196a9740
13159101a63cc
1498505cc21a
155257c52c20
hex2e2ac402e0

198285984480 has 768 divisors, whose sum is σ = 720111845376. Its totient is φ = 45567836160.

The previous prime is 198285984427. The next prime is 198285984529. The reversal of 198285984480 is 84489582891.

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, 1006527742 + ... + 1006527938.

It is an arithmetic number, because the mean of its divisors is an integer number (937645632).

Almost surely, 2198285984480 is an apocalyptic number.

198285984480 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 198285984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360055922688).

198285984480 is an abundant number, since it is smaller than the sum of its proper divisors (521825860896).

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

198285984480 is a wasteful number, since it uses less digits than its factorization.

198285984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 66.

The spelling of 198285984480 in words is "one hundred ninety-eight billion, two hundred eighty-five million, nine hundred eighty-four thousand, four hundred eighty".