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56622750105600 = 2193452719401
BaseRepresentation
bin11001101111111100000101…
…11010000000000000000000
321102111002012210212222110000
430313332002322000000000
524410201343011334400
6320232044324240000
714632600350454650
oct1467760272000000
9242432183788400
1056622750105600
11170506343120a8
126425a50540000
13257966ba95b03
14dda7accba360
15682d4ad62600
hex337f82e80000

56622750105600 has 2400 divisors, whose sum is σ = 252983734344000. Its totient is φ = 12230590464000.

The previous prime is 56622750105569. The next prime is 56622750105629. The reversal of 56622750105600 is 650105722665.

56622750105600 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 2 + 75 + 0 + 10 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×566227501056002 (a number of 28 digits) contains 22 as substring.

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, 141203865400 + ... + 141203865800.

It is an arithmetic number, because the mean of its divisors is an integer number (105409889310).

Almost surely, 256622750105600 is an apocalyptic number.

56622750105600 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 56622750105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126491867172000).

56622750105600 is an abundant number, since it is smaller than the sum of its proper divisors (196360984238400).

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

56622750105600 is an frugal number, since it uses more digits than its factorization.

56622750105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 56622750105600 in words is "fifty-six trillion, six hundred twenty-two billion, seven hundred fifty million, one hundred five thousand, six hundred".