Search a number
-
+
5475666300 = 22352131817757
BaseRepresentation
bin1010001100110000…
…00000100101111100
3112010121102200001120
411012120000211330
542203232310200
62303202310540
7252456252456
oct50630004574
915117380046
105475666300
11235a964155
121089958450
13693573b40
1439d3212d6
15220ab49a0
hex14660097c

5475666300 has 144 divisors (see below), whose sum is σ = 17158089312. Its totient is φ = 1340236800.

The previous prime is 5475666293. The next prime is 5475666359. The reversal of 5475666300 is 36665745.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 702022 + ... + 709778.

It is an arithmetic number, because the mean of its divisors is an integer number (119153398).

Almost surely, 25475666300 is an apocalyptic number.

5475666300 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 5475666300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579044656).

5475666300 is an abundant number, since it is smaller than the sum of its proper divisors (11682423012).

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

5475666300 is a wasteful number, since it uses less digits than its factorization.

5475666300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 5475666300 is about 73997.7452359192. The cubic root of 5475666300 is about 1762.5670936684.

The spelling of 5475666300 in words is "five billion, four hundred seventy-five million, six hundred sixty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 181 195 260 300 325 362 390 543 650 724 780 905 975 1086 1300 1810 1950 2172 2353 2715 3620 3900 4525 4706 5430 7059 7757 9050 9412 10860 11765 13575 14118 15514 18100 23271 23530 27150 28236 31028 35295 38785 46542 47060 54300 58825 70590 77570 93084 100841 116355 117650 141180 155140 176475 193925 201682 232710 235300 302523 352950 387850 403364 465420 504205 581775 605046 705900 775700 1008410 1163550 1210092 1404017 1512615 2016820 2327100 2521025 2808034 3025230 4212051 5042050 5616068 6050460 7020085 7563075 8424102 10084100 14040170 15126150 16848204 18252221 21060255 28080340 30252300 35100425 36504442 42120510 54756663 70200850 73008884 84241020 91261105 105301275 109513326 140401700 182522210 210602550 219026652 273783315 365044420 421205100 456305525 547566630 912611050 1095133260 1368916575 1825222100 2737833150 5475666300