Search a number
-
+
86509507266 = 23271379668533
BaseRepresentation
bin101000010010001011…
…1100101001011000010
322021021222220022020200
41100210113211023002
52404132413213031
6103424130550030
76151533451620
oct1204427451302
9267258808220
1086509507266
11337633a8256
1214923a38316
138208934170
1442894d6510
1523b4beb8e6
hex14245e52c2

86509507266 has 96 divisors (see below), whose sum is σ = 233612520960. Its totient is φ = 22526854272.

The previous prime is 86509507243. The next prime is 86509507283. The reversal of 86509507266 is 66270590568.

It is a happy number.

86509507266 is a `hidden beast` number, since 8 + 6 + 509 + 5 + 0 + 72 + 66 = 666.

It is a super-2 number, since 2×865095072662 (a number of 23 digits) contains 22 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, 204865 + ... + 463668.

It is an arithmetic number, because the mean of its divisors is an integer number (2433463760).

Almost surely, 286509507266 is an apocalyptic number.

86509507266 is an abundant number, since it is smaller than the sum of its proper divisors (147103013694).

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

86509507266 is a wasteful number, since it uses less digits than its factorization.

86509507266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668640 (or 668637 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 86509507266 in words is "eighty-six billion, five hundred nine million, five hundred seven thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 1027 1106 1422 1638 1659 2054 3081 3318 4977 6162 7189 9243 9954 14378 18486 21567 43134 64701 129402 668533 1337066 2005599 4011198 4679731 6016797 8690929 9359462 12033594 14039193 17381858 26072787 28078386 42117579 52145574 52814107 60836503 78218361 84235158 105628214 121673006 156436722 158442321 182509509 316884642 365019018 369698749 475326963 547528527 686583391 739397498 950653926 1095057054 1109096247 1373166782 2059750173 2218192494 3327288741 4119500346 4806083737 6179250519 6654577482 9612167474 12358501038 14418251211 28836502422 43254753633 86509507266