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68691317760 = 2103551331137
BaseRepresentation
bin111111111110010100…
…100101010000000000
320120022012211111100000
4333332110211100000
52111134434132020
651320101200000
74651143365352
oct777624452000
9216265744300
1068691317760
112714a5047aa
1211390700000
13662928c870
143478cb50d2
151bc07a8090
hexffe525400

68691317760 has 1056 divisors, whose sum is σ = 276393341952. Its totient is φ = 16243752960.

The previous prime is 68691317749. The next prime is 68691317777. The reversal of 68691317760 is 6771319686.

It is a happy number.

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 = 68691317697 and 68691317706.

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 95 ways as a sum of consecutive naturals, for example, 501396412 + ... + 501396548.

Almost surely, 268691317760 is an apocalyptic number.

68691317760 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 68691317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138196670976).

68691317760 is an abundant number, since it is smaller than the sum of its proper divisors (207702024192).

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

68691317760 is a wasteful number, since it uses less digits than its factorization.

68691317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 68691317760 in words is "sixty-eight billion, six hundred ninety-one million, three hundred seventeen thousand, seven hundred sixty".