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55733284051200 = 28375271733461
BaseRepresentation
bin11001010110000011010101…
…00110010001100100000000
321022100001100101120210000000
430223001222212101210000
524301113231204114300
6314311303420000000
714511411506654040
oct1453015246214400
9238301311523000
1055733284051200
1116838397979578
126301598090000
13251381a806112
14da9710927720
15669b3d514c00
hex32b06a991900

55733284051200 has 1728 divisors, whose sum is σ = 250363390717440. Its totient is φ = 11989322956800.

The previous prime is 55733284051199. The next prime is 55733284051253. The reversal of 55733284051200 is 215048233755.

55733284051200 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 32 + 8 + 405 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×557332840512002 (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 191 ways as a sum of consecutive naturals, for example, 1665602470 + ... + 1665635930.

It is an arithmetic number, because the mean of its divisors is an integer number (144886221480).

Almost surely, 255733284051200 is an apocalyptic number.

55733284051200 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 55733284051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125181695358720).

55733284051200 is an abundant number, since it is smaller than the sum of its proper divisors (194630106666240).

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

55733284051200 is an equidigital number, since it uses as much as digits as its factorization.

55733284051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33532 (or 33495 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55733284051200 in words is "fifty-five trillion, seven hundred thirty-three billion, two hundred eighty-four million, fifty-one thousand, two hundred".