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12310693888 = 211173471019
BaseRepresentation
bin10110111011100011…
…00100100000000000
31011202221202001020111
423131301210200000
5200203014201023
65353324521104
7614033112553
oct133561444000
934687661214
1012310693888
11524807a589
1224769b0194
131212637c6c
1484adb669a
154c0b9300d
hex2ddc64800

12310693888 has 96 divisors (see below), whose sum is σ = 26164101600. Its totient is φ = 5770903552.

The previous prime is 12310693861. The next prime is 12310693897. The reversal of 12310693888 is 88839601321.

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 7 ways as a sum of consecutive naturals, for example, 12080643 + ... + 12081661.

It is an arithmetic number, because the mean of its divisors is an integer number (272542725).

Almost surely, 212310693888 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 12310693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082050800).

12310693888 is an abundant number, since it is smaller than the sum of its proper divisors (13853407712).

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

12310693888 is a wasteful number, since it uses less digits than its factorization.

12310693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 12310693888 in words is "twelve billion, three hundred ten million, six hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 347 512 544 694 1019 1024 1088 1388 2038 2048 2176 2776 4076 4352 5552 5899 8152 8704 11104 11798 16304 17323 17408 22208 23596 32608 34646 34816 44416 47192 65216 69292 88832 94384 130432 138584 177664 188768 260864 277168 353593 355328 377536 521728 554336 707186 710656 755072 1043456 1108672 1414372 1510144 2086912 2217344 2828744 3020288 4434688 5657488 6011081 6040576 8869376 11314976 12022162 12081152 17738752 22629952 24044324 35477504 45259904 48088648 90519808 96177296 181039616 192354592 362079232 384709184 724158464 769418368 1538836736 3077673472 6155346944 12310693888