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56663405568 = 21032721121761
BaseRepresentation
bin110100110001011001…
…101111010000000000
312102020222012020122200
4310301121233100000
51412021312434233
642010353233200
74044113000100
oct646131572000
9172228166580
1056663405568
1122038019300
12ab94562800
135460404463
142a576ad200
151719872313
hexd3166f400

56663405568 has 1188 divisors, whose sum is σ = 225139597956. Its totient is φ = 13624934400.

The previous prime is 56663405549. The next prime is 56663405569. The reversal of 56663405568 is 86550436665.

It can be written as a sum of positive squares in 2 ways, for example, as 19725640704 + 36937764864 = 140448^2 + 192192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56663405569) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 928908258 + ... + 928908318.

Almost surely, 256663405568 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 56663405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112569798978).

56663405568 is an abundant number, since it is smaller than the sum of its proper divisors (168476192388).

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

56663405568 is a wasteful number, since it uses less digits than its factorization.

56663405568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 56663405568 in words is "fifty-six billion, six hundred sixty-three million, four hundred five thousand, five hundred sixty-eight".