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12288743922 = 23713237191361
BaseRepresentation
bin10110111000111011…
…10101100111110010
31011201102102212112210
423130131311213302
5200131404301142
65351222232550
7613345412520
oct133435654762
934642385483
1012288743922
115236748214
12246b585756
13120ac21110
14848101310
154bdca949c
hex2dc7759f2

12288743922 has 128 divisors (see below), whose sum is σ = 31631523840. Its totient is φ = 3093488640.

The previous prime is 12288743897. The next prime is 12288743923. The reversal of 12288743922 is 22934788221.

It is not an unprimeable number, because it can be changed into a prime (12288743923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9028522 + ... + 9029882.

It is an arithmetic number, because the mean of its divisors is an integer number (247121280).

Almost surely, 212288743922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288743922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815761920).

12288743922 is an abundant number, since it is smaller than the sum of its proper divisors (19342779918).

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

12288743922 is a wasteful number, since it uses less digits than its factorization.

12288743922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its digits is 774144, while the sum is 48.

The spelling of 12288743922 in words is "twelve billion, two hundred eighty-eight million, seven hundred forty-three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 719 897 966 1361 1438 1794 2093 2157 2722 4083 4186 4314 5033 6279 8166 9347 9527 10066 12558 15099 16537 17693 18694 19054 28041 28581 30198 31303 33074 35386 49611 53079 56082 57162 62606 65429 93909 99222 106158 115759 123851 130858 187818 196287 214981 219121 231518 247702 347277 371553 392574 406939 429962 438242 644943 657363 694554 743106 813878 978559 1220817 1289886 1314726 1504867 1957118 2441634 2848573 2935677 3009734 4514601 5697146 5871354 6849913 8545719 9029202 12721267 13699826 17091438 20549739 22506857 25442534 38163801 41099478 45013714 67520571 76327602 89048869 135041142 157547999 178097738 267146607 292589141 315095998 472643997 534293214 585178282 877767423 945287994 1755534846 2048123987 4096247974 6144371961 12288743922