Search a number
-
+
84296734921 = 72192372592
BaseRepresentation
bin100111010000001111…
…0100001100011001001
322001120210011211020101
41032200132201203021
52340114431004141
6102420403325401
76042644265400
oct1164036414311
9261523154211
1084296734921
1132828344683
1214406980861
137c45380109
144119692637
1522d580a531
hex13a07a18c9

84296734921 has 81 divisors (see below), whose sum is σ = 108198155079. Its totient is φ = 65472605856.

The previous prime is 84296734919. The next prime is 84296734933. The reversal of 84296734921 is 12943769248.

The square root of 84296734921 is 290339.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75429876025 + 8866858896 = 274645^2 + 94164^2 .

It is not a de Polignac number, because 84296734921 - 21 = 84296734919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84296734961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1428758190 + ... + 1428758248.

Almost surely, 284296734921 is an apocalyptic number.

84296734921 is the 290339-th square number.

84296734921 is the 145170-th centered octagonal number.

It is an amenable number.

84296734921 is a deficient number, since it is larger than the sum of its proper divisors (23901420158).

84296734921 is an equidigital number, since it uses as much as digits as its factorization.

84296734921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 84296734921 in words is "eighty-four billion, two hundred ninety-six million, seven hundred thirty-four thousand, nine hundred twenty-one".

Divisors: 1 7 19 37 49 59 133 259 361 413 703 931 1121 1369 1813 2183 2527 2891 3481 4921 7847 9583 13357 15281 17689 21299 24367 26011 34447 41477 54929 66139 67081 80771 93499 106967 128797 149093 170569 182077 290339 462973 494209 565397 654493 788063 901579 1043651 1256641 1274539 1534649 2032373 2447143 3240811 3459463 3957779 4765489 5516441 6311053 8796487 10742543 17130001 24216241 29158331 33358423 38615087 46495717 61575409 75197801 90544291 119910007 204108317 233508961 325470019 633810037 1428758219 1720341529 2278290133 4436670259 12042390703 84296734921