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320676436089 = 322322922832
BaseRepresentation
bin1001010101010011100…
…11100001100001111001
31010122201111021210212100
410222221303201201321
520223221131423324
6403152224534013
732111442506202
oct4525163414171
91118644253770
10320676436089
11113aa8540809
1252195a81309
13243166b5289
14117411ca5a9
15851c9e54c9
hex4aa9ce1879

320676436089 has 81 divisors (see below), whose sum is σ = 503265103887. Its totient is φ = 196740304992.

The previous prime is 320676436079. The next prime is 320676436099. The reversal of 320676436089 is 980634676023.

The square root of 320676436089 is 566283.

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

320676436089 is a `hidden beast` number, since 3 + 20 + 6 + 7 + 6 + 4 + 3 + 608 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (320676436079) and next prime (320676436099).

It can be written as a sum of positive squares in only one way, i.e., 168154944489 + 152521491600 = 410067^2 + 390540^2 .

It is not a de Polignac number, because 320676436089 - 29 = 320676435577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (320676436019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1133132142 + ... + 1133132424.

Almost surely, 2320676436089 is an apocalyptic number.

320676436089 is the 566283-rd square number.

320676436089 is the 283142-nd centered octagonal number.

It is an amenable number.

320676436089 is a deficient number, since it is larger than the sum of its proper divisors (182588667798).

320676436089 is an equidigital number, since it uses as much as digits as its factorization.

320676436089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 320676436089 in words is "three hundred twenty billion, six hundred seventy-six million, four hundred thirty-six thousand, eighty-nine".

Divisors: 1 3 9 23 29 69 87 207 261 283 529 667 841 849 1587 2001 2523 2547 4761 6003 6509 7569 8207 15341 19343 19527 24621 46023 58029 58581 73863 80089 138069 149707 174087 188761 238003 240267 444889 449121 566283 714009 720801 1334667 1347363 1698849 1842047 2142027 2322581 4004001 4341503 5474069 5526141 6967743 13024509 16422207 16578423 20903229 39073527 42367081 49266621 53419363 67354849 125903587 127101243 160258089 202064547 377710761 381303729 480774267 606193641 1133132283 1228645349 1549161527 3685936047 4647484581 11057808141 13942453743 35630715121 106892145363 320676436089