Search a number
-
+
466250216130 = 232579263249341
BaseRepresentation
bin1101100100011101010…
…11011011001011000010
31122120110210001001102100
412302032223123023002
530114340023404010
6554105320131230
745454054306116
oct6621653331302
91576423031370
10466250216130
1116a810101336
1276442306b16
1334c75c5116a
14187d0b99746
15c1dcc0c2c0
hex6c8eadb2c2

466250216130 has 96 divisors (see below), whose sum is σ = 1232268111360. Its totient is φ = 122292293760.

The previous prime is 466250216129. The next prime is 466250216147. The reversal of 466250216130 is 31612052664.

466250216130 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 502 + 16 + 130 = 666.

It is a super-3 number, since 3×4662502161303 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745260 + ... + 1994600.

It is an arithmetic number, because the mean of its divisors is an integer number (12836126160).

Almost surely, 2466250216130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466250216130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616134055680).

466250216130 is an abundant number, since it is smaller than the sum of its proper divisors (766017895230).

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

466250216130 is a wasteful number, since it uses less digits than its factorization.

466250216130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249696 (or 249693 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 466250216130 its reverse (31612052664), we get a palindrome (497862268794).

The spelling of 466250216130 in words is "four hundred sixty-six billion, two hundred fifty million, two hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 263 395 474 526 711 789 790 1185 1315 1422 1578 2367 2370 2630 3555 3945 4734 7110 7890 11835 20777 23670 41554 62331 103885 124662 186993 207770 249341 311655 373986 498682 623310 748023 934965 1246705 1496046 1869930 2244069 2493410 3740115 4488138 7480230 11220345 19697939 22440690 39395878 59093817 65576683 98489695 118187634 131153366 177281451 196730049 196979390 295469085 327883415 354562902 393460098 590190147 590938170 655766830 886407255 983650245 1180380294 1772814510 1967300490 2950950735 5180557957 5901901470 10361115914 15541673871 25902789785 31083347742 46625021613 51805579570 77708369355 93250043226 155416738710 233125108065 466250216130