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198086340480 = 2735760724281
BaseRepresentation
bin1011100001111011011…
…1011010111110000000
3200221021222101201010220
42320132313122332000
511221140100343410
6230555525423040
720211523053510
oct2703667327600
9627258351126
10198086340480
117700a636506
123248286aa80
13158aaa15172
149831c9d840
155245469070
hex2e1eddaf80

198086340480 has 256 divisors, whose sum is σ = 722818805760. Its totient is φ = 45200424960.

The previous prime is 198086340443. The next prime is 198086340493. The reversal of 198086340480 is 84043680891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8145940 + ... + 8170220.

It is an arithmetic number, because the mean of its divisors is an integer number (2823510960).

Almost surely, 2198086340480 is an apocalyptic number.

198086340480 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 198086340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361409402880).

198086340480 is an abundant number, since it is smaller than the sum of its proper divisors (524732465280).

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

198086340480 is a wasteful number, since it uses less digits than its factorization.

198086340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24917 (or 24905 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 198086340480 in words is "one hundred ninety-eight billion, eighty-six million, three hundred forty thousand, four hundred eighty".