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56041850880 = 211325976269
BaseRepresentation
bin110100001100010110…
…101100100000000000
312100122122121222220200
4310030112230200000
51404233203212010
641424551205200
74022524605231
oct641426544000
9170578558820
1056041850880
1121849189044
12aa40376800
1353916cc912
1429d8d15088
1516ceee7cc0
hexd0c5ac800

56041850880 has 288 divisors, whose sum is σ = 196264668600. Its totient is φ = 14788067328.

The previous prime is 56041850873. The next prime is 56041850927. The reversal of 56041850880 is 8805814065.

56041850880 is a `hidden beast` number, since 5 + 60 + 4 + 1 + 8 + 508 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39071056896 + 16970793984 = 197664^2 + 130272^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8936386 + ... + 8942654.

Almost surely, 256041850880 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 56041850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98132334300).

56041850880 is an abundant number, since it is smaller than the sum of its proper divisors (140222817720).

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

56041850880 is a wasteful number, since it uses less digits than its factorization.

56041850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 56041850880 in words is "fifty-six billion, forty-one million, eight hundred fifty thousand, eight hundred eighty".