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55538780000 = 255411252449
BaseRepresentation
bin110011101110010111…
…101000011101100000
312022100121000100101212
4303232113220131200
51402220411430000
641303020445252
74004205561254
oct635627503540
9168317010355
1055538780000
1121610214490
12a91b9a9828
135311410b42
14298c1a0264
1516a0c74c35
hexcee5e8760

55538780000 has 120 divisors (see below), whose sum is σ = 149055568200. Its totient is φ = 20195840000.

The previous prime is 55538779991. The next prime is 55538780039. The reversal of 55538780000 is 8783555.

It is a self number, because there is not a number n which added to its sum of digits gives 55538780000.

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 19 ways as a sum of consecutive naturals, for example, 93776 + ... + 346224.

It is an arithmetic number, because the mean of its divisors is an integer number (1242129735).

Almost surely, 255538780000 is an apocalyptic number.

55538780000 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 55538780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74527784100).

55538780000 is an abundant number, since it is smaller than the sum of its proper divisors (93516788200).

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

55538780000 is a wasteful number, since it uses less digits than its factorization.

55538780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252490 (or 252467 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

It can be divided in two parts, 55538 and 780000, that added together give a palindrome (835538).

The spelling of 55538780000 in words is "fifty-five billion, five hundred thirty-eight million, seven hundred eighty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 252449 504898 1009796 1262245 2019592 2524490 2776939 4039184 5048980 5553878 6311225 8078368 10097960 11107756 12622450 13884695 20195920 22215512 25244900 27769390 31556125 40391840 44431024 50489800 55538780 63112250 69423475 88862048 100979600 111077560 126224500 138846950 157780625 201959200 222155120 252449000 277693900 315561250 347117375 444310240 504898000 555387800 631122500 694234750 1009796000 1110775600 1262245000 1388469500 1735586875 2221551200 2524490000 2776939000 3471173750 5048980000 5553878000 6942347500 11107756000 13884695000 27769390000 55538780000