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55482626384640 = 283357132331109227
BaseRepresentation
bin11001001110110000011100…
…01111001010001100000000
321021110002100121221222222000
430213120032033022030000
524233011404323302030
6314000211112144000
714454326126650050
oct1447301617121400
9237402317858860
1055482626384640
111675106018a744
126280aa3398000
1324c5cb240a820
14d9b532a3b560
1566336cadb860
hex32760e3ca300

55482626384640 has 4608 divisors, whose sum is σ = 264568976179200. Its totient is φ = 10689344962560.

The previous prime is 55482626384579. The next prime is 55482626384657. The reversal of 55482626384640 is 4648362628455.

55482626384640 is a `hidden beast` number, since 5 + 5 + 4 + 82 + 62 + 6 + 38 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 244416856207 + ... + 244416856433.

It is an arithmetic number, because the mean of its divisors is an integer number (57415142400).

Almost surely, 255482626384640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55482626384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132284488089600).

55482626384640 is an abundant number, since it is smaller than the sum of its proper divisors (209086349794560).

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

55482626384640 is a wasteful number, since it uses less digits than its factorization.

55482626384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 63.

The spelling of 55482626384640 in words is "fifty-five trillion, four hundred eighty-two billion, six hundred twenty-six million, three hundred eighty-four thousand, six hundred forty".