Search a number
-
+
461306221060 = 225234723671237
BaseRepresentation
bin1101011011001111111…
…11100101001000000100
31122002201020001002011211
412231213333211020010
530024223343033220
6551530545141204
745220412116246
oct6554777451004
91562636032154
10461306221060
111687033766a3
12754a262a804
13346688a0ca9
1418482316096
15beedb69b5a
hex6b67fe5204

461306221060 has 144 divisors (see below), whose sum is σ = 1036479112704. Its totient is φ = 172134496512.

The previous prime is 461306221043. The next prime is 461306221069. The reversal of 461306221060 is 60122603164.

It is not an unprimeable number, because it can be changed into a prime (461306221069) 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, 372922762 + ... + 372923998.

It is an arithmetic number, because the mean of its divisors is an integer number (7197771616).

Almost surely, 2461306221060 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 461306221060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518239556352).

461306221060 is an abundant number, since it is smaller than the sum of its proper divisors (575172891644).

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

461306221060 is a wasteful number, since it uses less digits than its factorization.

461306221060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 461306221060 in words is "four hundred sixty-one billion, three hundred six million, two hundred twenty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 367 460 470 734 940 1081 1237 1468 1835 2162 2209 2474 3670 4324 4418 4948 5405 6185 7340 8441 8836 10810 11045 12370 16882 17249 21620 22090 24740 28451 33764 34498 42205 44180 50807 56902 58139 68996 84410 86245 101614 113804 116278 142255 168820 172490 203228 232556 254035 284510 290695 344980 396727 453979 508070 569020 581390 793454 810703 907958 1016140 1162780 1337197 1586908 1621406 1815916 1983635 2269895 2674394 2732533 3242812 3967270 4053515 4539790 5348788 5465066 6685985 7934540 8107030 9079580 10441517 10930132 13371970 13662665 16214060 18646169 20883034 21337013 26743940 27325330 37292338 41766068 42674026 52207585 54650660 62848259 74584676 85348052 93230845 104415170 106685065 125696518 186461690 208830340 213370130 251393036 314241295 372923380 426740260 490751299 628482590 981502598 1002839611 1256965180 1963005196 2005679222 2453756495 4011358444 4907512990 5014198055 9815025980 10028396110 20056792220 23065311053 46130622106 92261244212 115326555265 230653110530 461306221060