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68226754570560 = 26325113349600701
BaseRepresentation
bin11111000001101010001110…
…11110000110100101000000
322221120102011211111121110200
433200311013132012211000
532420311343132224220
6401034534403525200
720241135403130265
oct1740650736064500
9287512154447420
1068226754570560
111a814893318383
12779a976089800
132c0b9a8670151
1412bc29a48d26c
157d4b03be2890
hex3e0d47786940

68226754570560 has 336 divisors, whose sum is σ = 237427105078800. Its totient is φ = 17981094297600.

The previous prime is 68226754570517. The next prime is 68226754570613. The reversal of 68226754570560 is 6507545762286.

68226754570560 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 6 + 7 + 5 + 4 + 570 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3980886886656 + 64245867683904 = 1995216^2 + 8015352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113278210 + ... + 113878910.

It is an arithmetic number, because the mean of its divisors is an integer number (706628288925).

Almost surely, 268226754570560 is an apocalyptic number.

68226754570560 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 68226754570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118713552539400).

68226754570560 is an abundant number, since it is smaller than the sum of its proper divisors (169200350508240).

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

68226754570560 is a wasteful number, since it uses less digits than its factorization.

68226754570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601186 (or 601173 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 68226754570560 in words is "sixty-eight trillion, two hundred twenty-six billion, seven hundred fifty-four million, five hundred seventy thousand, five hundred sixty".