Search a number
-
+
466818066 = 23611132239
BaseRepresentation
bin11011110100110…
…001010000010010
31012112101211000000
4123310301100102
51424001134231
6114153310430
714365613421
oct3364612022
91175354000
10466818066
1121a563360
12110405416
1375937a10
1445dd92b8
152aeb16e6
hex1bd31412

466818066 has 112 divisors (see below), whose sum is σ = 1233953280. Its totient is φ = 130520160.

The previous prime is 466818013. The next prime is 466818067. The reversal of 466818066 is 660818664.

466818066 is a `hidden beast` number, since 466 + 8 + 180 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (466818067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 207375 + ... + 209613.

It is an arithmetic number, because the mean of its divisors is an integer number (11017440).

Almost surely, 2466818066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466818066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616976640).

466818066 is an abundant number, since it is smaller than the sum of its proper divisors (767135214).

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

466818066 is a wasteful number, since it uses less digits than its factorization.

466818066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 466818066 is about 21605.9729241708. The cubic root of 466818066 is about 775.7394626564.

The spelling of 466818066 in words is "four hundred sixty-six million, eight hundred eighteen thousand, sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 729 858 891 1053 1287 1458 1782 2106 2239 2574 2673 3159 3861 4478 5346 6318 6717 7722 8019 9477 11583 13434 16038 18954 20151 23166 24629 29107 34749 40302 49258 58214 60453 69498 73887 87321 104247 120906 147774 174642 181359 208494 221661 261963 320177 362718 443322 523926 544077 640354 664983 785889 960531 1088154 1329966 1571778 1632231 1921062 1994949 2357667 2881593 3264462 3989898 4715334 5763186 5984847 7073001 8644779 11969694 14146002 17289558 17954541 21219003 25934337 35909082 42438006 51868674 77803011 155606022 233409033 466818066