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56067938208 = 25363124161
BaseRepresentation
bin110100001101111010…
…001101011110100000
312100201110201101000000
4310031322031132200
51404311343010313
641431322300000
74023262416462
oct641572153640
9170643641000
1056067938208
1121861986917
12aa49057600
135396c349c9
1429dc586132
1516d244c673
hexd0de8d7a0

56067938208 has 504 divisors, whose sum is σ = 178053674148. Its totient is φ = 17356032000.

The previous prime is 56067938117. The next prime is 56067938273. The reversal of 56067938208 is 80283976065.

It is a happy number.

56067938208 is a `hidden beast` number, since 5 + 606 + 7 + 9 + 3 + 8 + 20 + 8 = 666.

56067938208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39018891024 + 17049047184 = 197532^2 + 130572^2 .

It is a super-2 number, since 2×560679382082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 919146498 + ... + 919146558.

Almost surely, 256067938208 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 56067938208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89026837074).

56067938208 is an abundant number, since it is smaller than the sum of its proper divisors (121985735940).

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

56067938208 is an equidigital number, since it uses as much as digits as its factorization.

56067938208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56067938208 in words is "fifty-six billion, sixty-seven million, nine hundred thirty-eight thousand, two hundred eight".