Search a number
-
+
56081081721600 = 2834521379105337
BaseRepresentation
bin11001100000001011001001…
…11101000110001100000000
321100120022002000021001010000
430300011210331012030000
524322313023410042400
6315135143203040000
714545503325251225
oct1460054475061400
9240508060231100
1056081081721600
1116961942668011
126358a80970000
13253a567038920
14dbc4a5ab394c
15673be703b600
hex330164f46300

56081081721600 has 1080 divisors, whose sum is σ = 226136702644160. Its totient is φ = 13629703127040.

The previous prime is 56081081721593. The next prime is 56081081721659. The reversal of 56081081721600 is 612718018065.

56081081721600 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 1 + 0 + 8 + 17 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 532344132 + ... + 532449468.

Almost surely, 256081081721600 is an apocalyptic number.

56081081721600 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 56081081721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113068351322080).

56081081721600 is an abundant number, since it is smaller than the sum of its proper divisors (170055620922560).

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

56081081721600 is a wasteful number, since it uses less digits than its factorization.

56081081721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105467 (or 105439 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

Adding to 56081081721600 its reverse (612718018065), we get a palindrome (56693799739665).

The spelling of 56081081721600 in words is "fifty-six trillion, eighty-one billion, eighty-one million, seven hundred twenty-one thousand, six hundred".