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56330275600 = 2452118672
BaseRepresentation
bin110100011101100010…
…111100101100010000
312101101202100111020201
4310131202330230100
51410331022304400
641513333144544
74032626304514
oct643542745420
9171352314221
1056330275600
1121986a76885
12ab00a8b154
1354093a6b31
142a25354144
1516ea4bc06a
hexd1d8bcb10

56330275600 has 45 divisors (see below), whose sum is σ = 135344892277. Its totient is φ = 22530211520.

The previous prime is 56330275483. The next prime is 56330275607. The reversal of 56330275600 is 657203365.

It is a happy number.

The square root of 56330275600 is 237340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20278899216 + 36051376384 = 142404^2 + 189872^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56330275600.

It is not an unprimeable number, because it can be changed into a prime (56330275607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4740867 + ... + 4752733.

Almost surely, 256330275600 is an apocalyptic number.

56330275600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56330275600 is the 237340-th square number.

It is an amenable number.

56330275600 is an abundant number, since it is smaller than the sum of its proper divisors (79014616677).

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

56330275600 is an frugal number, since it uses more digits than its factorization.

56330275600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23752 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 37.

Adding to 56330275600 its reverse (657203365), we get a palindrome (56987478965).

The spelling of 56330275600 in words is "fifty-six billion, three hundred thirty million, two hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 11867 23734 47468 59335 94936 118670 189872 237340 296675 474680 593350 949360 1186700 2373400 4746800 140825689 281651378 563302756 704128445 1126605512 1408256890 2253211024 2816513780 3520642225 5633027560 7041284450 11266055120 14082568900 28165137800 56330275600