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5664673300 = 225211131920849
BaseRepresentation
bin1010100011010010…
…00000111000010100
3112121210002012220211
411101221000320110
543100124021200
62334033335204
7260242633336
oct52151007024
915553065824
105664673300
112447618990
121121107504
136c377c5c0
143ba481456
1523249baba
hex151a40e14

5664673300 has 144 divisors (see below), whose sum is σ = 15202152000. Its totient is φ = 1801267200.

The previous prime is 5664673291. The next prime is 5664673303. The reversal of 5664673300 is 33764665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664673303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261276 + ... + 282124.

It is an arithmetic number, because the mean of its divisors is an integer number (105570500).

Almost surely, 25664673300 is an apocalyptic number.

5664673300 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 5664673300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601076000).

5664673300 is an abundant number, since it is smaller than the sum of its proper divisors (9537478700).

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

5664673300 is a wasteful number, since it uses less digits than its factorization.

5664673300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20906 (or 20899 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The square root of 5664673300 is about 75264.0239423856. The cubic root of 5664673300 is about 1782.6180071857.

The spelling of 5664673300 in words is "five billion, six hundred sixty-four million, six hundred seventy-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 209 220 247 260 275 286 325 380 418 475 494 550 572 650 715 836 950 988 1045 1100 1235 1300 1430 1900 2090 2470 2717 2860 3575 4180 4940 5225 5434 6175 7150 10450 10868 12350 13585 14300 20849 20900 24700 27170 41698 54340 67925 83396 104245 135850 208490 229339 271037 271700 396131 416980 458678 521225 542074 792262 917356 1042450 1084148 1146695 1355185 1584524 1980655 2084900 2293390 2710370 2981407 3961310 4357441 4586780 5149703 5420740 5733475 5962814 6775925 7922620 8714882 9903275 10299406 11466950 11925628 13551850 14907035 17429764 19806550 20598812 21787205 22933900 25748515 27103700 29814070 39613100 43574410 51497030 56646733 59628140 74535175 87148820 102994060 108936025 113293466 128742575 149070350 217872050 226586932 257485150 283233665 298140700 435744100 514970300 566467330 1132934660 1416168325 2832336650 5664673300