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68679905918976 = 2143211231124171
BaseRepresentation
bin11111001110110110010010…
…11001010100000000000000
3100000011201211201201020102100
433213123021121110000000
533000222421403401401
6402023040241550400
720315650044053622
oct1747331131240000
9300151751636370
1068679905918976
111a979a91456500
127852761645400
132c426448b42c1
1412d61a7704c12
157e17c696db86
hex3e76c9654000

68679905918976 has 540 divisors, whose sum is σ = 225115463827072. Its totient is φ = 20140572672000.

The previous prime is 68679905918903. The next prime is 68679905918999. The reversal of 68679905918976 is 67981950997686.

68679905918976 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 9 + 9 + 0 + 591 + 8 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553045371 + ... + 553169541.

Almost surely, 268679905918976 is an apocalyptic number.

68679905918976 is a gapful number since it is divisible by the number (66) 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 68679905918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112557731913536).

68679905918976 is an abundant number, since it is smaller than the sum of its proper divisors (156435557908096).

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

68679905918976 is a wasteful number, since it uses less digits than its factorization.

68679905918976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124258 (or 124218 counting only the distinct ones).

The product of its (nonzero) digits is 22221319680, while the sum is 90.

The spelling of 68679905918976 in words is "sixty-eight trillion, six hundred seventy-nine billion, nine hundred five million, nine hundred eighteen thousand, nine hundred seventy-six".