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55055502722304 = 28327193121412707
BaseRepresentation
bin11001000010010100110111…
…01011101100010100000000
321012221020212122102211002200
430201022123223230110000
524204012132144103204
6313032052045513200
714411425452506220
oct1441123353542400
9235836778384080
1055055502722304
11165a69a8aa1387
126212160572800
1324949335b1a56
14d849b4446080
156571bed82539
hex32129baec500

55055502722304 has 864 divisors, whose sum is σ = 197288758517760. Its totient is φ = 14409462988800.

The previous prime is 55055502722251. The next prime is 55055502722351. The reversal of 55055502722304 is 40322720555055.

55055502722304 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 550 + 2 + 72 + 23 + 0 + 4 = 666.

It is a super-2 number, since 2×550555027223042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55055502722304.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 20338196919 + ... + 20338199625.

Almost surely, 255055502722304 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 55055502722304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98644379258880).

55055502722304 is an abundant number, since it is smaller than the sum of its proper divisors (142233255795456).

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

55055502722304 is a wasteful number, since it uses less digits than its factorization.

55055502722304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 2100000, while the sum is 45.

The spelling of 55055502722304 in words is "fifty-five trillion, fifty-five billion, five hundred two million, seven hundred twenty-two thousand, three hundred four".