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55505050000 = 24555571993
BaseRepresentation
bin110011101100010110…
…111101100110010000
312022021020112200112121
4303230112331212100
51402133243100000
641255413504024
74003316066131
oct635426754620
9168236480477
1055505050000
11215a3176654
12a910642014
13530743116a
1429878ddc88
15169cd10b1a
hexcec5bd990

55505050000 has 120 divisors (see below), whose sum is σ = 134726580072. Its totient is φ = 22151040000.

The previous prime is 55505049991. The next prime is 55505050021. The reversal of 55505050000 is 5050555.

It can be written as a sum of positive squares in 12 ways, for example, as 55116013824 + 389036176 = 234768^2 + 19724^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 27849004 + ... + 27850996.

Almost surely, 255505050000 is an apocalyptic number.

55505050000 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 55505050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67363290036).

55505050000 is an abundant number, since it is smaller than the sum of its proper divisors (79221530072).

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

55505050000 is an equidigital number, since it uses as much as digits as its factorization.

55505050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 25.

The spelling of 55505050000 in words is "fifty-five billion, five hundred five million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 557 625 1000 1114 1250 1993 2000 2228 2500 2785 3125 3986 4456 5000 5570 6250 7972 8912 9965 10000 11140 12500 13925 15944 19930 22280 25000 27850 31888 39860 44560 49825 50000 55700 69625 79720 99650 111400 139250 159440 199300 222800 249125 278500 348125 398600 498250 557000 696250 797200 996500 1110101 1114000 1245625 1392500 1740625 1993000 2220202 2491250 2785000 3481250 3986000 4440404 4982500 5550505 5570000 6228125 6962500 8880808 9965000 11101010 12456250 13925000 17761616 19930000 22202020 24912500 27752525 27850000 44404040 49825000 55505050 88808080 99650000 111010100 138762625 222020200 277525250 444040400 555050500 693813125 1110101000 1387626250 2220202000 2775252500 3469065625 5550505000 6938131250 11101010000 13876262500 27752525000 55505050000