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56653026048 = 283317279359
BaseRepresentation
bin110100110000110010…
…001001001100000000
312102020020122220122000
4310300302021030000
51412011133313143
642005342544000
74043625530103
oct646062111400
9172206586560
1056653026048
1122032179a93
12ab90b98000
13545b20bc28
142a5616a73a
1517189c1bd3
hexd30c89300

56653026048 has 432 divisors, whose sum is σ = 180722304000. Its totient is φ = 17499635712.

The previous prime is 56653026041. The next prime is 56653026049. The reversal of 56653026048 is 84062035665.

56653026048 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 30 + 2 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 56653025994 and 56653026012.

It is not an unprimeable number, because it can be changed into a prime (56653026041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157807693 + ... + 157808051.

Almost surely, 256653026048 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 56653026048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90361152000).

56653026048 is an abundant number, since it is smaller than the sum of its proper divisors (124069277952).

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

56653026048 is a wasteful number, since it uses less digits than its factorization.

56653026048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56653026048 in words is "fifty-six billion, six hundred fifty-three million, twenty-six thousand, forty-eight".