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10802321024 = 271143672663
BaseRepresentation
bin10100000111101111…
…00101011010000000
31000212211110202122212
422003313211122000
5134110343233044
64543523121252
7531456133205
oct120367453200
930784422585
1010802321024
1146436a0740
122115813228
131031ca3941
14746933cac
15433542a9e
hex283de5680

10802321024 has 128 divisors (see below), whose sum is σ = 24390305280. Its totient is φ = 4722600960.

The previous prime is 10802321017. The next prime is 10802321053. The reversal of 10802321024 is 42012320801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4055117 + ... + 4057779.

It is an arithmetic number, because the mean of its divisors is an integer number (190549260).

Almost surely, 210802321024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10802321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195152640).

10802321024 is an abundant number, since it is smaller than the sum of its proper divisors (13587984256).

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

10802321024 is a wasteful number, since it uses less digits than its factorization.

10802321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10802321024 its reverse (42012320801), we get a palindrome (52814641825).

The spelling of 10802321024 in words is "ten billion, eight hundred two million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 67 86 88 128 134 172 176 268 344 352 473 536 688 704 737 946 1072 1376 1408 1474 1892 2144 2663 2752 2881 2948 3784 4288 5326 5504 5762 5896 7568 8576 10652 11524 11792 15136 21304 23048 23584 29293 30272 31691 42608 46096 47168 58586 60544 63382 85216 92192 94336 114509 117172 126764 170432 178421 184384 229018 234344 253528 340864 356842 368768 458036 468688 507056 713684 916072 937376 1014112 1259599 1427368 1832144 1874752 1962631 2028224 2519198 2854736 3664288 3749504 3925262 4056448 5038396 5709472 7328576 7672103 7850524 10076792 11418944 14657152 15344206 15701048 20153584 22837888 30688412 31402096 40307168 61376824 62804192 80614336 84393133 122753648 125608384 161228672 168786266 245507296 251216768 337572532 491014592 675145064 982029184 1350290128 2700580256 5401160512 10802321024