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68381166000 = 2435373149223
BaseRepresentation
bin111111101011110101…
…011100100110110000
320112111121020011002210
4333223311130212300
52110021034303000
651225221412120
74640356215000
oct775365344660
9215447204083
1068381166000
1127000427134
121130486a040
1365a9c49104
143449a1c000
151ba3441350
hexfebd5c9b0

68381166000 has 640 divisors, whose sum is σ = 259983360000. Its totient is φ = 15455462400.

The previous prime is 68381165999. The next prime is 68381166011. The reversal of 68381166000 is 66118386.

It is a self number, because there is not a number n which added to its sum of digits gives 68381166000.

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, 306641889 + ... + 306642111.

It is an arithmetic number, because the mean of its divisors is an integer number (406224000).

Almost surely, 268381166000 is an apocalyptic number.

68381166000 is a gapful number since it is divisible by the number (60) 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 68381166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680000).

68381166000 is an abundant number, since it is smaller than the sum of its proper divisors (191602194000).

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

68381166000 is a wasteful number, since it uses less digits than its factorization.

68381166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 68381166000 in words is "sixty-eight billion, three hundred eighty-one million, one hundred sixty-six thousand".