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6484375300 = 22521379103613
BaseRepresentation
bin1100000100111111…
…11011011100000100
3121201220111101200011
412002133323130010
5101240000002200
62551234400004
7316455165154
oct60237733404
917656441604
106484375300
112828296157
12130b730004
137c4540080
14457298764
1527e4165ba
hex1827fb704

6484375300 has 144 divisors (see below), whose sum is σ = 15519562240. Its totient is φ = 2337154560.

The previous prime is 6484375277. The next prime is 6484375327. The reversal of 6484375300 is 35734846.

It is an unprimeable number.

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, 10577794 + ... + 10578406.

Almost surely, 26484375300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6484375300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759781120).

6484375300 is an abundant number, since it is smaller than the sum of its proper divisors (9035186940).

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

6484375300 is a wasteful number, since it uses less digits than its factorization.

6484375300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 6484375300 is about 80525.6189047933. The cubic root of 6484375300 is about 1864.7590102306.

The spelling of 6484375300 in words is "six billion, four hundred eighty-four million, three hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 103 130 158 206 260 316 325 395 412 515 613 650 790 1027 1030 1226 1300 1339 1580 1975 2054 2060 2452 2575 2678 3065 3950 4108 5135 5150 5356 6130 6695 7900 7969 8137 10270 10300 12260 13390 15325 15938 16274 20540 25675 26780 30650 31876 32548 33475 39845 40685 48427 51350 61300 63139 66950 79690 81370 96854 102700 105781 126278 133900 159380 162740 193708 199225 203425 211562 242135 252556 315695 398450 406850 423124 484270 528905 629551 631390 796900 813700 820807 968540 1057810 1210675 1259102 1262780 1578475 1641614 2115620 2421350 2518204 2644525 3147755 3156950 3283228 4104035 4842700 4987981 5289050 6295510 6313900 8208070 9975962 10578100 12591020 15738775 16416140 19951924 20520175 24939905 31477550 41040350 49879810 62955100 64843753 82080700 99759620 124699525 129687506 249399050 259375012 324218765 498798100 648437530 1296875060 1621093825 3242187650 6484375300