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199081486656 = 263213412772341
BaseRepresentation
bin1011100101101000101…
…1100110100101000000
3201000212022221101001200
42321122023212211000
511230204330033111
6231242355101200
720245265500353
oct2713213464500
9630768841050
10199081486656
1177480344568
12326bbba1800
1315a08c42c60
1498c810629a
1552a29dc256
hex2e5a2e6940

199081486656 has 336 divisors, whose sum is σ = 632056767888. Its totient is φ = 59520614400.

The previous prime is 199081486649. The next prime is 199081486657. The reversal of 199081486656 is 656684180991.

199081486656 is a `hidden beast` number, since 1 + 9 + 90 + 8 + 1 + 486 + 65 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59516481600 + 139565005056 = 243960^2 + 373584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 199081486593 and 199081486602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199081486657) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 85040046 + ... + 85042386.

It is an arithmetic number, because the mean of its divisors is an integer number (1881121333).

Almost surely, 2199081486656 is an apocalyptic number.

199081486656 is a gapful number since it is divisible by the number (16) 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 199081486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316028383944).

199081486656 is an abundant number, since it is smaller than the sum of its proper divisors (432975281232).

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

199081486656 is a wasteful number, since it uses less digits than its factorization.

199081486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 199081486656 in words is "one hundred ninety-nine billion, eighty-one million, four hundred eighty-six thousand, six hundred fifty-six".