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57644343680 = 2757112275153
BaseRepresentation
bin110101101011110111…
…101110000110000000
312111210100000001202212
4311223313232012000
51421023422444210
642251554201252
74110323560010
oct655367560600
9174710001685
1057644343680
11224a0802660
12b208b83228
1355886c9201
142b0ba97c40
151775a3a805
hexd6bdee180

57644343680 has 256 divisors, whose sum is σ = 172600450560. Its totient is φ = 17884446720.

The previous prime is 57644343661. The next prime is 57644343683. The reversal of 57644343680 is 8634344675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57644343683) 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 31 ways as a sum of consecutive naturals, for example, 11183984 + ... + 11189136.

It is an arithmetic number, because the mean of its divisors is an integer number (674220510).

Almost surely, 257644343680 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 57644343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86300225280).

57644343680 is an abundant number, since it is smaller than the sum of its proper divisors (114956106880).

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

57644343680 is a wasteful number, since it uses less digits than its factorization.

57644343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 57644343680 in words is "fifty-seven billion, six hundred forty-four million, three hundred forty-three thousand, six hundred eighty".