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68459186880 = 2633578531327
BaseRepresentation
bin111111110000011111…
…000100101011000000
320112201001001000122000
4333300133010223000
52110201022440010
651241045544000
74642324326060
oct776037045300
9215631030560
1068459186880
11270404763a7
1211326a15000
1365c0165706
14345612b3a0
151baa2037c0
hexff07c4ac0

68459186880 has 448 divisors, whose sum is σ = 276541870080. Its totient is φ = 15617691648.

The previous prime is 68459186879. The next prime is 68459187023. The reversal of 68459186880 is 8868195486.

68459186880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51588777 + ... + 51590103.

It is an arithmetic number, because the mean of its divisors is an integer number (617280960).

Almost surely, 268459186880 is an apocalyptic number.

68459186880 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 68459186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138270935040).

68459186880 is an abundant number, since it is smaller than the sum of its proper divisors (208082683200).

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

68459186880 is a wasteful number, since it uses less digits than its factorization.

68459186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 68459186880 in words is "sixty-eight billion, four hundred fifty-nine million, one hundred eighty-six thousand, eight hundred eighty".