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68973327360 = 2103457231033
BaseRepresentation
bin100000000111100100…
…0010111010000000000
320121000212111001210000
41000033020113100000
52112224132433420
651404053440000
74661136415650
oct1001710272000
9217025431700
1068973327360
1127284710793
121144b040000
13667282bb52
1434a4524360
151bda411690
hex100f217400

68973327360 has 880 divisors, whose sum is σ = 295036828416. Its totient is φ = 15065284608.

The previous prime is 68973327343. The next prime is 68973327403. The reversal of 68973327360 is 6372337986.

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 = 68973327297 and 68973327306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66769404 + ... + 66770436.

Almost surely, 268973327360 is an apocalyptic number.

68973327360 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 68973327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147518414208).

68973327360 is an abundant number, since it is smaller than the sum of its proper divisors (226063501056).

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

68973327360 is a wasteful number, since it uses less digits than its factorization.

68973327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 68973327360 in words is "sixty-eight billion, nine hundred seventy-three million, three hundred twenty-seven thousand, three hundred sixty".