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68393282688 = 273353675573
BaseRepresentation
bin111111101100100011…
…101010110010000000
320112112110000202002000
4333230203222302000
52110032140021223
651230333224000
74640564211423
oct775443526200
9215473022060
1068393282688
1127007252625
1211308932000
1365ac5cc253
14344b4939ba
151ba4536543
hexfec8eac80

68393282688 has 256 divisors, whose sum is σ = 208770825600. Its totient is φ = 22029815808.

The previous prime is 68393282687. The next prime is 68393282767. The reversal of 68393282688 is 88628239386.

68393282688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×683932826882 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68393282687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12269470 + ... + 12275042.

Almost surely, 268393282688 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 68393282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104385412800).

68393282688 is an abundant number, since it is smaller than the sum of its proper divisors (140377542912).

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

68393282688 is a wasteful number, since it uses less digits than its factorization.

68393282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5698 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 68393282688 in words is "sixty-eight billion, three hundred ninety-three million, two hundred eighty-two thousand, six hundred eighty-eight".