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68852081664 = 2103223378779
BaseRepresentation
bin100000000011111100…
…1110110010000000000
320120201102100010221200
41000013321312100000
52112002113103124
651344043021200
74655135015652
oct1000771662000
9216642303850
1068852081664
1127222229033
121141650a800
136653689c32
1434923a26d2
151bce961bc9
hex1007e76400

68852081664 has 264 divisors, whose sum is σ = 213083856960. Its totient is φ = 21357084672.

The previous prime is 68852081657. The next prime is 68852081681. The reversal of 68852081664 is 46618025886.

It is a super-2 number, since 2×688520816642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68852081664.

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 23 ways as a sum of consecutive naturals, for example, 7838427 + ... + 7847205.

Almost surely, 268852081664 is an apocalyptic number.

68852081664 is a gapful number since it is divisible by the number (64) 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 68852081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106541928480).

68852081664 is an abundant number, since it is smaller than the sum of its proper divisors (144231775296).

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

68852081664 is a wasteful number, since it uses less digits than its factorization.

68852081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 68852081664 in words is "sixty-eight billion, eight hundred fifty-two million, eighty-one thousand, six hundred sixty-four".