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5185380300 = 22352891571237
BaseRepresentation
bin1001101010001001…
…01001111111001100
3111101101012121112020
410311010221333030
541104424132200
62214312410140
7242333001552
oct46504517714
914341177466
105185380300
112221014a71
1210086a6950
13648397689
14372959bd2
15205373ea0
hex135129fcc

5185380300 has 144 divisors (see below), whose sum is σ = 15280584480. Its totient is φ = 1357424640.

The previous prime is 5185380271. The next prime is 5185380301. The reversal of 5185380300 is 30835815.

It is not an unprimeable number, because it can be changed into a prime (5185380301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4191282 + ... + 4192518.

It is an arithmetic number, because the mean of its divisors is an integer number (106115170).

Almost surely, 25185380300 is an apocalyptic number.

5185380300 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 5185380300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640292240).

5185380300 is an abundant number, since it is smaller than the sum of its proper divisors (10095204180).

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

5185380300 is a wasteful number, since it uses less digits than its factorization.

5185380300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5185380300 is about 72009.5847786946. The cubic root of 5185380300 is about 1730.8530769941.

The spelling of 5185380300 in words is "five billion, one hundred eighty-five million, three hundred eighty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 157 178 267 300 314 356 445 471 534 628 785 890 942 1068 1237 1335 1570 1780 1884 2225 2355 2474 2670 3140 3711 3925 4450 4710 4948 5340 6185 6675 7422 7850 8900 9420 11775 12370 13350 13973 14844 15700 18555 23550 24740 26700 27946 30925 37110 41919 47100 55892 61850 69865 74220 83838 92775 110093 123700 139730 167676 185550 194209 209595 220186 279460 330279 349325 371100 388418 419190 440372 550465 582627 660558 698650 776836 838380 971045 1047975 1100930 1165254 1321116 1397300 1651395 1942090 2095950 2201860 2330508 2752325 2913135 3302790 3884180 4191900 4855225 5504650 5826270 6605580 8256975 9710450 11009300 11652540 14565675 16513950 17284601 19420900 29131350 33027900 34569202 51853803 58262700 69138404 86423005 103707606 172846010 207415212 259269015 345692020 432115025 518538030 864230050 1037076060 1296345075 1728460100 2592690150 5185380300