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55050000300 = 22335243974637
BaseRepresentation
bin110011010001001111…
…000101011110101100
312021002112021202201000
4303101033011132230
51400220300002200
641142320320300
73656122165461
oct632117053654
9167075252630
1055050000300
112138a321019
12a804173090
135264086b99
1429432c9668
151672dc6300
hexcd13c57ac

55050000300 has 144 divisors (see below), whose sum is σ = 177053980320. Its totient is φ = 14673496320.

The previous prime is 55050000283. The next prime is 55050000301. The reversal of 55050000300 is 300005055.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (55050000301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11869582 + ... + 11874218.

It is an arithmetic number, because the mean of its divisors is an integer number (1229541530).

Almost surely, 255050000300 is an apocalyptic number.

55050000300 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 55050000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88526990160).

55050000300 is an abundant number, since it is smaller than the sum of its proper divisors (122003980020).

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

55050000300 is a wasteful number, since it uses less digits than its factorization.

55050000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9057 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

Adding to 55050000300 its reverse (300005055), we get a palindrome (55350005355).

The spelling of 55050000300 in words is "fifty-five billion, fifty million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4397 4637 8794 9274 13191 13911 17588 18548 21985 23185 26382 27822 39573 41733 43970 46370 52764 55644 65955 69555 79146 83466 87940 92740 109925 115925 118719 125199 131910 139110 158292 166932 197865 208665 219850 231850 237438 250398 263820 278220 329775 347775 395730 417330 439700 463700 474876 500796 593595 625995 659550 695550 791460 834660 989325 1043325 1187190 1251990 1319100 1391100 1978650 2086650 2374380 2503980 2967975 3129975 3957300 4173300 5935950 6259950 11871900 12519900 20388889 40777778 61166667 81555556 101944445 122333334 183500001 203888890 244666668 305833335 367000002 407777780 509722225 550500003 611666670 734000004 917500005 1019444450 1101000006 1223333340 1529166675 1835000010 2038888900 2202000012 2752500015 3058333350 3670000020 4587500025 5505000030 6116666700 9175000050 11010000060 13762500075 18350000100 27525000150 55050000300