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209621128336 = 2417267332
BaseRepresentation
bin1100001100111001100…
…1001001010010010000
3202001001212010122101221
43003032121021102100
511413301002101321
6240144300134424
721100415122564
oct3031631112220
9661055118357
10209621128336
1180999731334
1234761837414
13169c8684c19
14a207bbd6a4
1556bce43e41
hex30ce649490

209621128336 has 45 divisors (see below), whose sum is σ = 431500998891. Its totient is φ = 98630585856.

The previous prime is 209621128307. The next prime is 209621128351. The reversal of 209621128336 is 633821126902.

The square root of 209621128336 is 457844.

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

209621128336 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 4 ways, for example, as 149889768336 + 59731360000 = 387156^2 + 244400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 209621128292 and 209621128301.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31130026 + ... + 31136758.

Almost surely, 2209621128336 is an apocalyptic number.

209621128336 is the 457844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209621128336

209621128336 is an abundant number, since it is smaller than the sum of its proper divisors (221879870555).

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

209621128336 is an frugal number, since it uses more digits than its factorization.

209621128336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 209621128336 in words is "two hundred nine billion, six hundred twenty-one million, one hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 6733 13466 26932 53864 107728 114461 228922 457844 915688 1831376 1945837 3891674 7783348 15566696 31133392 45333289 90666578 181333156 362666312 725332624 770665913 1541331826 3082663652 6165327304 12330654608 13101320521 26202641042 52405282084 104810564168 209621128336