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56176830240 = 25352383101607
BaseRepresentation
bin110100010100011001…
…100110011100100000
312101000001121122210020
4310110121212130200
51410022232031430
641450212233440
74026054115116
oct642431463440
9171001548706
1056176830240
11219083a1033
12aa7960b880
1353b366c96b
142a0cc0dab6
1516dbcabb10
hexd14666720

56176830240 has 384 divisors, whose sum is σ = 189036675072. Its totient is φ = 13993267200.

The previous prime is 56176830239. The next prime is 56176830253. The reversal of 56176830240 is 4203867165.

It is a junction number, because it is equal to n+sod(n) for n = 56176830192 and 56176830201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92548017 + ... + 92548623.

It is an arithmetic number, because the mean of its divisors is an integer number (492283008).

Almost surely, 256176830240 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 56176830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94518337536).

56176830240 is an abundant number, since it is smaller than the sum of its proper divisors (132859844832).

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

56176830240 is a wasteful number, since it uses less digits than its factorization.

56176830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 56176830240 in words is "fifty-six billion, one hundred seventy-six million, eight hundred thirty thousand, two hundred forty".