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68918586063600 = 243527213231409547
BaseRepresentation
bin11111010101110010110111…
…10101110011101011110000
3100001000112220202111212012210
433222321123311303223300
533013130231013013400
6402324432241452120
720342126544603600
oct1752713365635360
9301015822455183
1068918586063600
111aa61232146879
127890a73041040
132c5bcc16b8400
14130396a984c00
157e7ae5ab6950
hex3eae5bd73af0

68918586063600 has 2160 divisors, whose sum is σ = 288286109936640. Its totient is φ = 14011928985600.

The previous prime is 68918586063557. The next prime is 68918586063601. The reversal of 68918586063600 is 636068581986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68918586063601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 125993758527 + ... + 125993759073.

Almost surely, 268918586063600 is an apocalyptic number.

68918586063600 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 68918586063600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144143054968320).

68918586063600 is an abundant number, since it is smaller than the sum of its proper divisors (219367523873040).

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

68918586063600 is a wasteful number, since it uses less digits than its factorization.

68918586063600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 68918586063600 in words is "sixty-eight trillion, nine hundred eighteen billion, five hundred eighty-six million, sixty-three thousand, six hundred".