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198496309440 = 263511133739079
BaseRepresentation
bin1011100011011101001…
…1010101000011000000
3200222100112211021211110
42320313103111003000
511223010023400230
6231104332443320
720224631535342
oct2706723250300
9628315737743
10198496309440
11771aaaa0230
1232578019540
1315944937150
1498704db292
15526b44b4b0
hex2e374d50c0

198496309440 has 448 divisors, whose sum is σ = 760435522560. Its totient is φ = 43217141760.

The previous prime is 198496309373. The next prime is 198496309493. The reversal of 198496309440 is 44903694891.

It is a super-2 number, since 2×1984963094402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5059821 + ... + 5098899.

It is an arithmetic number, because the mean of its divisors is an integer number (1697400720).

Almost surely, 2198496309440 is an apocalyptic number.

198496309440 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 198496309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380217761280).

198496309440 is an abundant number, since it is smaller than the sum of its proper divisors (561939213120).

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

198496309440 is a wasteful number, since it uses less digits than its factorization.

198496309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39160 (or 39150 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 198496309440 in words is "one hundred ninety-eight billion, four hundred ninety-six million, three hundred nine thousand, four hundred forty".