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55505060000 = 255413213481
BaseRepresentation
bin110011101100010111…
…000000000010100000
312022021020120012020222
4303230113000002200
51402133243410000
641255414022212
74003316140235
oct635427000240
9168236505228
1055505060000
11215a3183115
12a910647968
135307435890
14298790378c
15169cd13a85
hexcec5c00a0

55505060000 has 120 divisors (see below), whose sum is σ = 147055367844. Its totient is φ = 20494080000.

The previous prime is 55505059979. The next prime is 55505060003. The reversal of 55505060000 is 6050555.

It can be written as a sum of positive squares in 10 ways, for example, as 8278816144 + 47226243856 = 90988^2 + 217316^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (55505060003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153260 + ... + 366740.

Almost surely, 255505060000 is an apocalyptic number.

55505060000 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 55505060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73527683922).

55505060000 is an abundant number, since it is smaller than the sum of its proper divisors (91550307844).

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

55505060000 is a wasteful number, since it uses less digits than its factorization.

55505060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213524 (or 213501 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The spelling of 55505060000 in words is "fifty-five billion, five hundred five million, sixty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 130000 213481 260000 426962 853924 1067405 1707848 2134810 2775253 3415696 4269620 5337025 5550506 6831392 8539240 10674050 11101012 13876265 17078480 21348100 22202024 26685125 27752530 34156960 42696200 44404048 53370250 55505060 69381325 85392400 88808096 106740500 111010120 133425625 138762650 170784800 213481000 222020240 266851250 277525300 346906625 426962000 444040480 533702500 555050600 693813250 853924000 1067405000 1110101200 1387626500 1734533125 2134810000 2220202400 2775253000 3469066250 4269620000 5550506000 6938132500 11101012000 13876265000 27752530000 55505060000