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68969871360 = 2113351331619
BaseRepresentation
bin100000000111011101…
…1001011100000000000
320121000121222111001000
41000032323023200000
52112222241340420
651403451412000
74661065143105
oct1001673134000
9217017874030
1068969871360
1127282770195
1211449a54000
136671bbba90
1434a3ca4aac
151bd9e7c690
hex100eecb800

68969871360 has 768 divisors, whose sum is σ = 272982528000. Its totient is φ = 16403005440.

The previous prime is 68969871283. The next prime is 68969871361. The reversal of 68969871360 is 6317896986.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68969871361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 111421131 + ... + 111421749.

It is an arithmetic number, because the mean of its divisors is an integer number (355446000).

Almost surely, 268969871360 is an apocalyptic number.

68969871360 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 68969871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264000).

68969871360 is an abundant number, since it is smaller than the sum of its proper divisors (204012656640).

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

68969871360 is a wasteful number, since it uses less digits than its factorization.

68969871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 68969871360 in words is "sixty-eight billion, nine hundred sixty-nine million, eight hundred seventy-one thousand, three hundred sixty".