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68075041870080 = 2834574113716699
BaseRepresentation
bin11110111101001111101001…
…01100000101000100000000
322221000220120201021220020000
433132213310230011010000
532410320141204320310
6400441124214120000
720224154666346210
oct1736476454050400
9287026521256200
1068075041870080
111a766510471a93
127775495950000
132bca5ab31866b
1412b4bc746c240
157d0bc4aa14c0
hex3de9f4b05100

68075041870080 has 1440 divisors, whose sum is σ = 287271376761600. Its totient is φ = 15068788162560.

The previous prime is 68075041870063. The next prime is 68075041870141. The reversal of 68075041870080 is 8007814057086.

It is a happy number.

68075041870080 is a `hidden beast` number, since 6 + 80 + 7 + 5 + 0 + 418 + 70 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×680750418700802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68075041869999 and 68075041870026.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4076585571 + ... + 4076602269.

It is an arithmetic number, because the mean of its divisors is an integer number (199494011640).

Almost surely, 268075041870080 is an apocalyptic number.

68075041870080 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 68075041870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143635688380800).

68075041870080 is an abundant number, since it is smaller than the sum of its proper divisors (219196334891520).

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

68075041870080 is a wasteful number, since it uses less digits than its factorization.

68075041870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16917 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 68075041870080 in words is "sixty-eight trillion, seventy-five billion, forty-one million, eight hundred seventy thousand, eighty".