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68202043026480 = 2432511192931504149
BaseRepresentation
bin11111000000111100001101…
…00011000010110000110000
322221111001101122101002210100
433200132012203002300300
532414410241003321410
6401015330325432400
720236302130355256
oct1740360643026060
9287431348332710
1068202043026480
111a8053622a0580
12779601a26b700
132c0956ab2210c
1412badd45525d6
157d41594ed8c0
hex3e07868c2c30

68202043026480 has 960 divisors, whose sum is σ = 280865594880000. Its totient is φ = 14635618099200.

The previous prime is 68202043026433. The next prime is 68202043026497. The reversal of 68202043026480 is 8462034020286.

68202043026480 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 204 + 302 + 64 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 135029446 + ... + 135533594.

It is an arithmetic number, because the mean of its divisors is an integer number (292568328000).

Almost surely, 268202043026480 is an apocalyptic number.

68202043026480 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 68202043026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140432797440000).

68202043026480 is an abundant number, since it is smaller than the sum of its proper divisors (212663551853520).

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

68202043026480 is a wasteful number, since it uses less digits than its factorization.

68202043026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504258 (or 504249 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 68202043026480 in words is "sixty-eight trillion, two hundred two billion, forty-three million, twenty-six thousand, four hundred eighty".