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168228096000 = 211353317691
BaseRepresentation
bin1001110010101100101…
…1010000100000000000
3121002020002211201210020
42130223023100200000
510224012343033000
6205141035533440
715103564136166
oct2345313204000
9532202751706
10168228096000
11653884134a8
122872b2ba280
1312b2cb23493
1481dc5d5236
154598ee1ba0
hex272b2d0800

168228096000 has 384 divisors, whose sum is σ = 562304695680. Its totient is φ = 44654592000.

The previous prime is 168228095993. The next prime is 168228096019. The reversal of 168228096000 is 690822861.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243455655 + ... + 243456345.

It is an arithmetic number, because the mean of its divisors is an integer number (1464335145).

Almost surely, 2168228096000 is an apocalyptic number.

168228096000 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 168228096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281152347840).

168228096000 is an abundant number, since it is smaller than the sum of its proper divisors (394076599680).

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

168228096000 is an equidigital number, since it uses as much as digits as its factorization.

168228096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 168228096000 in words is "one hundred sixty-eight billion, two hundred twenty-eight million, ninety-six thousand".