Search a number
-
+
68643771770880 = 21134582759177
BaseRepresentation
bin11111001101110010111111…
…01000011110100000000000
3100000001021120110221022210000
433212321133220132200000
532444124421033132010
6401554302521440000
720313230440631235
oct1746713750364000
9300037513838700
1068643771770880
111a965729697199
127847758340000
132c3c106714897
1412d453a72b78c
157e08ae55e7c0
hex3e6e5fa1e800

68643771770880 has 240 divisors, whose sum is σ = 246040553418660. Its totient is φ = 18305005584384.

The previous prime is 68643771770879. The next prime is 68643771770909. The reversal of 68643771770880 is 8807717734686.

68643771770880 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 377 + 177 + 0 + 8 + 80 = 666.

68643771770880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63224634737664 + 5419137033216 = 7951392^2 + 2327904^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68643771770799 and 68643771770808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40550149 + ... + 42209028.

Almost surely, 268643771770880 is an apocalyptic number.

68643771770880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68643771770880 is an abundant number, since it is smaller than the sum of its proper divisors (177396781647780).

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

68643771770880 is an equidigital number, since it uses as much as digits as its factorization.

68643771770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82759216 (or 82759187 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 68643771770880 in words is "sixty-eight trillion, six hundred forty-three billion, seven hundred seventy-one million, seven hundred seventy thousand, eight hundred eighty".