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56386703360000 = 2155413211789
BaseRepresentation
bin11001101001000100011010…
…11011001000000000000000
321101122111221022021212222202
430310202031123020000000
524342314432030010000
6315531405515252332
714606543034312116
oct1464421533100000
9241574838255882
1056386703360000
1116a6a515059462
1263a8154a4a0a8
132560321729a90
14dcd1b9693ab6
1567bb32ee5dd5
hex33488d6c8000

56386703360000 has 320 divisors, whose sum is σ = 151760176745100. Its totient is φ = 20819607552000.

The previous prime is 56386703359979. The next prime is 56386703360023. The reversal of 56386703360000 is 6330768365.

It can be written as a sum of positive squares in 10 ways, for example, as 1894432915456 + 54492270444544 = 1376384^2 + 7381888^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266134106 + ... + 266345894.

Almost surely, 256386703360000 is an apocalyptic number.

56386703360000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56386703360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75880088372550).

56386703360000 is an abundant number, since it is smaller than the sum of its proper divisors (95373473385100).

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

56386703360000 is an frugal number, since it uses more digits than its factorization.

56386703360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211852 (or 211809 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 47.

The spelling of 56386703360000 in words is "fifty-six trillion, three hundred eighty-six billion, seven hundred three million, three hundred sixty thousand".