Search a number
-
+
81833715873 = 32713846711801
BaseRepresentation
bin100110000110110101…
…0110110100010100001
321211020010120111021200
41030031222312202201
52320043412401443
6101332140311413
75624626052010
oct1141552664241
9254203514250
1081833715873
1131783aa9a48
1213a39b42569
137941ccb2b0
143d6450aa77
1521de486dd3
hex130dab68a1

81833715873 has 48 divisors (see below), whose sum is σ = 145511673216. Its totient is φ = 43156281600.

The previous prime is 81833715869. The next prime is 81833715883. The reversal of 81833715873 is 37851733818.

81833715873 is a `hidden beast` number, since 81 + 83 + 371 + 58 + 73 = 666.

It is not a de Polignac number, because 81833715873 - 22 = 81833715869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81833715823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6928573 + ... + 6940373.

It is an arithmetic number, because the mean of its divisors is an integer number (3031493192).

Almost surely, 281833715873 is an apocalyptic number.

It is an amenable number.

81833715873 is a deficient number, since it is larger than the sum of its proper divisors (63677957343).

81833715873 is a wasteful number, since it uses less digits than its factorization.

81833715873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20294 (or 20291 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 81833715873 in words is "eighty-one billion, eight hundred thirty-three million, seven hundred fifteen thousand, eight hundred seventy-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 8467 11801 25401 35403 59269 76203 82607 106209 110071 153413 177807 247821 330213 460239 533421 743463 770497 990639 1073891 1380717 2311491 3221673 6934473 9665019 99919067 299757201 699433469 899271603 1298947871 2098300407 3896843613 6294901221 9092635097 11690530839 27277905291 81833715873