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68558129856 = 263217193111887
BaseRepresentation
bin111111110110011000…
…100000101011000000
320112221221012211212200
4333312120200223000
52110401340123411
651254542353200
74644635326416
oct776630405300
9215857184780
1068558129856
1127091305757
1211353b8b800
1366077c9058
1434653252b6
151bb3c49e56
hexff6620ac0

68558129856 has 336 divisors, whose sum is σ = 226104053760. Its totient is φ = 19717447680.

The previous prime is 68558129797. The next prime is 68558129863. The reversal of 68558129856 is 65892185586.

68558129856 is a `hidden beast` number, since 6 + 8 + 558 + 1 + 29 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68558129793 and 68558129802.

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 47 ways as a sum of consecutive naturals, for example, 5761545 + ... + 5773431.

Almost surely, 268558129856 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 68558129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113052026880).

68558129856 is an abundant number, since it is smaller than the sum of its proper divisors (157545923904).

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

68558129856 is a wasteful number, since it uses less digits than its factorization.

68558129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11959 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 63.

The spelling of 68558129856 in words is "sixty-eight billion, five hundred fifty-eight million, one hundred twenty-nine thousand, eight hundred fifty-six".