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682419489408 = 27361937101103
BaseRepresentation
bin10011110111000110101…
…11110000101010000000
32102020102222122221000000
421323203113300222000
542140043342130113
61241255454000000
7100205663644416
oct11734327605200
92366388587000
10682419489408
1124345a0138a8
12b0310aa6000
134c476112b57
142505a4b32b6
1512b40962373
hex9ee35f0a80

682419489408 has 896 divisors, whose sum is σ = 2247022627200. Its totient is φ = 205584998400.

The previous prime is 682419489407. The next prime is 682419489413. The reversal of 682419489408 is 804984914286.

682419489408 is a `hidden beast` number, since 68 + 2 + 4 + 1 + 94 + 89 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (682419489407) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 6625431885 + ... + 6625431987.

Almost surely, 2682419489408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682419489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123511313600).

682419489408 is an abundant number, since it is smaller than the sum of its proper divisors (1564603137792).

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

682419489408 is a wasteful number, since it uses less digits than its factorization.

682419489408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 682419489408 in words is "six hundred eighty-two billion, four hundred nineteen million, four hundred eighty-nine thousand, four hundred eight".