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68309294760 = 233357219411657
BaseRepresentation
bin111111100111100011…
…010001111010101000
320112022120222201022000
4333213203101322220
52104344134413020
651214133131000
74635524265600
oct774743217250
9215276881260
1068309294760
1126a738a8213
12112a4789a60
1365980a3955
14344026dc00
151b9be96090
hexfe78d1ea8

68309294760 has 768 divisors, whose sum is σ = 285786144000. Its totient is φ = 14422302720.

The previous prime is 68309294759. The next prime is 68309294783. The reversal of 68309294760 is 6749290386.

It is a happy number.

68309294760 is a `hidden beast` number, since 6 + 83 + 0 + 92 + 9 + 476 + 0 = 666.

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 = 68309294697 and 68309294706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41223852 + ... + 41225508.

It is an arithmetic number, because the mean of its divisors is an integer number (372117375).

Almost surely, 268309294760 is an apocalyptic number.

68309294760 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 68309294760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142893072000).

68309294760 is an abundant number, since it is smaller than the sum of its proper divisors (217476849240).

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

68309294760 is a wasteful number, since it uses less digits than its factorization.

68309294760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 68309294760 in words is "sixty-eight billion, three hundred nine million, two hundred ninety-four thousand, seven hundred sixty".