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68217806176 = 251317291392393
BaseRepresentation
bin111111100010000110…
…010001110101100000
320112002012211121112221
4333202012101311200
52104202224244201
651201104200424
74633333533202
oct774206216540
9215065747487
1068217806176
1126a2719a513
121127a009114
1365821502b0
143432056772
151b93e234a1
hexfe2191d60

68217806176 has 192 divisors, whose sum is σ = 159630004800. Its totient is φ = 28393537536.

The previous prime is 68217806117. The next prime is 68217806191. The reversal of 68217806176 is 67160871286.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28506036 + ... + 28508428.

It is an arithmetic number, because the mean of its divisors is an integer number (831406275).

Almost surely, 268217806176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68217806176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79815002400).

68217806176 is an abundant number, since it is smaller than the sum of its proper divisors (91412198624).

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

68217806176 is a wasteful number, since it uses less digits than its factorization.

68217806176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 68217806176 in words is "sixty-eight billion, two hundred seventeen million, eight hundred six thousand, one hundred seventy-six".