Search a number
-
+
236564663130 = 23355343937657
BaseRepresentation
bin1101110001010001011…
…0100100101101011010
3211121121121011000202000
43130110112210231122
512333441023210010
6300402025421430
723043202313265
oct3342426445532
9747547130660
10236564663130
1191365648864
1239a2103a876
1319400755713
14b642323cdc
1562485737c0
hex37145a4b5a

236564663130 has 128 divisors (see below), whose sum is σ = 644222937600. Its totient is φ = 61751020032.

The previous prime is 236564663129. The next prime is 236564663143. The reversal of 236564663130 is 31366465632.

236564663130 is a `hidden beast` number, since 2 + 3 + 6 + 5 + 6 + 4 + 6 + 631 + 3 + 0 = 666.

236564663130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6263262 + ... + 6300918.

It is an arithmetic number, because the mean of its divisors is an integer number (5032991700).

Almost surely, 2236564663130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236564663130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322111468800).

236564663130 is an abundant number, since it is smaller than the sum of its proper divisors (407658274470).

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

236564663130 is a wasteful number, since it uses less digits than its factorization.

236564663130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38165 (or 38159 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 236564663130 in words is "two hundred thirty-six billion, five hundred sixty-four million, six hundred sixty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 439 477 530 795 878 954 1317 1431 1590 2195 2385 2634 2862 3951 4390 4770 6585 7155 7902 11853 13170 14310 19755 23267 23706 37657 39510 46534 59265 69801 75314 112971 116335 118530 139602 188285 209403 225942 232670 338913 349005 376570 418806 564855 628209 677826 698010 1016739 1047015 1129710 1256418 1694565 1995821 2033478 2094030 3141045 3389130 3991642 5083695 5987463 6282090 9979105 10167390 11974926 16531423 17962389 19958210 29937315 33062846 35924778 49594269 53887167 59874630 82657115 89811945 99188538 107774334 148782807 165314230 179623890 247971345 269435835 297565614 446348421 495942690 538871670 743914035 876165419 892696842 1487828070 1752330838 2231742105 2628496257 4380827095 4463484210 5256992514 7885488771 8761654190 13142481285 15770977542 23656466313 26284962570 39427443855 47312932626 78854887710 118282331565 236564663130