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209140990468 = 221729757713997
BaseRepresentation
bin1100001011000111000…
…1100100001000000100
3201222211101200010001221
43002301301210020010
511411310043143333
6240024505130124
721052465041664
oct3026161441004
9658741603057
10209140990468
1180772700683
1234648a89944
1316950065587
14a1a01181a4
155690c00d2d
hex30b1c64204

209140990468 has 48 divisors (see below), whose sum is σ = 400970470320. Its totient is φ = 95006191616.

The previous prime is 209140990403. The next prime is 209140990481. The reversal of 209140990468 is 864099041902.

209140990468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8157341124 + 200983649344 = 90318^2 + 448312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14934846 + ... + 14948842.

It is an arithmetic number, because the mean of its divisors is an integer number (8353551465).

Almost surely, 2209140990468 is an apocalyptic number.

It is an amenable number.

209140990468 is a deficient number, since it is larger than the sum of its proper divisors (191829479852).

209140990468 is a wasteful number, since it uses less digits than its factorization.

209140990468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21624 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 209140990468 in words is "two hundred nine billion, one hundred forty million, nine hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 4 17 29 34 58 68 116 493 986 1972 7577 13997 15154 27994 30308 55988 128809 219733 237949 257618 405913 439466 475898 515236 811826 878932 951796 1623652 3735461 6900521 7470922 13801042 14941844 27602084 106055269 212110538 424221076 1802939573 3075602801 3605879146 6151205602 7211758292 12302411204 52285247617 104570495234 209140990468