Search a number
-
+
132772273165818 = 233111343399861083
BaseRepresentation
bin11110001100000101110100…
…001011011001010111111010
3122102002220110000001202122000
4132030011310023121113322
5114400320103412301233
61150214423521041430
736652323462622356
oct3614056413312772
9572086400052560
10132772273165818
113933a44a921910
1212a841a5786276
1359114aa63bc60
1424b02d8810466
151053aa15aed13
hex78c1742d95fa

132772273165818 has 128 divisors (see below), whose sum is σ = 354692775951360. Its totient is φ = 36275397359040.

The previous prime is 132772273165799. The next prime is 132772273165853. The reversal of 132772273165818 is 818561372277231.

132772273165818 is a `hidden beast` number, since 1 + 3 + 27 + 7 + 2 + 27 + 3 + 1 + 6 + 581 + 8 = 666.

It is a super-2 number, since 2×1327722731658182 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199598496 + ... + 200262587.

It is an arithmetic number, because the mean of its divisors is an integer number (2771037312120).

Almost surely, 2132772273165818 is an apocalyptic number.

132772273165818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132772273165818 is an abundant number, since it is smaller than the sum of its proper divisors (221920502785542).

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

132772273165818 is a wasteful number, since it uses less digits than its factorization.

132772273165818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399861161 (or 399861155 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 132772273165818 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, two hundred seventy-three million, one hundred sixty-five thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 43 54 66 78 86 99 117 129 143 198 234 258 286 297 351 387 429 473 559 594 702 774 858 946 1118 1161 1287 1419 1677 2322 2574 2838 3354 3861 4257 5031 6149 7722 8514 10062 12298 12771 15093 18447 25542 30186 36894 55341 110682 166023 332046 399861083 799722166 1199583249 2399166498 3598749747 4398471913 5198194079 7197499494 8796943826 10396388158 10796249241 13195415739 15594582237 17194026569 21592498482 26390831478 31189164474 34388053138 39586247217 46783746711 51582079707 57180134869 79172494434 93567493422 103164159414 114360269738 118758741651 140351240133 154746239121 171540404607 189134292259 223522345397 237517483302 280702480266 309492478242 343080809214 378268584518 447044690794 464238717363 514621213821 567402876777 670567036191 928477434726 1029242427642 1134805753554 1341134072382 1543863641463 1702208630331 2011701108573 2458745799367 3087727282926 3404417260662 4023402217146 4917491598734 5106625890993 6035103325719 7376237398101 10213251781986 12070206651438 14752474796202 22128712194303 44257424388606 66386136582909 132772273165818