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68721770234880 = 2103457171983883
BaseRepresentation
bin11111010000000100010001…
…01101000000010000000000
3100000022201220022210211120000
433220002020231000100000
533001414141140004010
6402054202335320000
720321661346633020
oct1750021055002000
9300281808724500
1068721770234880
111a9958147a7694
12785a8a5980000
132c46586c85169
1412d821972ba80
157e2926e657c0
hex3e8088b40400

68721770234880 has 3520 divisors, whose sum is σ = 317818008668160. Its totient is φ = 13821331636224.

The previous prime is 68721770234867. The next prime is 68721770234881. The reversal of 68721770234880 is 8843207712786.

It is a happy number.

68721770234880 is a `hidden beast` number, since 6 + 8 + 7 + 217 + 70 + 2 + 348 + 8 + 0 = 666.

It is a super-2 number, since 2×687217702348802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68721770234881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77827598919 + ... + 77827599801.

It is an arithmetic number, because the mean of its divisors is an integer number (90289207008).

Almost surely, 268721770234880 is an apocalyptic number.

68721770234880 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 68721770234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158909004334080).

68721770234880 is an abundant number, since it is smaller than the sum of its proper divisors (249096238433280).

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

68721770234880 is a wasteful number, since it uses less digits than its factorization.

68721770234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 68721770234880 in words is "sixty-eight trillion, seven hundred twenty-one billion, seven hundred seventy million, two hundred thirty-four thousand, eight hundred eighty".