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289924094916 = 223243220872
BaseRepresentation
bin1000011100000001101…
…00101001101111000100
31000201100022100000102100
410032000310221233010
514222231032014131
6341104515312100
726642406100641
oct4160064515704
91021308300370
10289924094916
11101a57658715
1248232bab630
13214554b5bb1
1410064ca0dc8
15781cd0a7e6
hex4380d29bc4

289924094916 has 81 divisors (see below), whose sum is σ = 750663067791. Its totient is φ = 94348661904.

The previous prime is 289924094879. The next prime is 289924094917. The reversal of 289924094916 is 619490429982.

The square root of 289924094916 is 538446.

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

It is not an unprimeable number, because it can be changed into a prime (289924094917) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138918025 + ... + 138920111.

Almost surely, 2289924094916 is an apocalyptic number.

289924094916 is the 538446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289924094916

289924094916 is an abundant number, since it is smaller than the sum of its proper divisors (460738972875).

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

289924094916 is an equidigital number, since it uses as much as digits as its factorization.

289924094916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 289924094916 in words is "two hundred eighty-nine billion, nine hundred twenty-four million, ninety-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 2087 3698 4174 5547 6261 7396 8348 11094 12522 16641 18783 22188 25044 33282 37566 66564 75132 89741 179482 269223 358964 538446 807669 1076892 1615338 3230676 3858863 4355569 7717726 8711138 11576589 13066707 15435452 17422276 23153178 26133414 34729767 39200121 46306356 52266828 69459534 78400242 138919068 156800484 187289467 374578934 561868401 749157868 1123736802 1685605203 2247473604 3371210406 6742420812 8053447081 16106894162 24160341243 32213788324 48320682486 72481023729 96641364972 144962047458 289924094916