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23161852512 = 2532418323633
BaseRepresentation
bin10101100100100011…
…011101001001100000
32012210012010000111100
4111210203131021200
5334413413240022
614350154514400
71446654332541
oct254443351140
965705100440
1023161852512
119906297677
1245a4a35a00
13225177ab96
14119a1c04c8
159086311ac
hex5648dd260

23161852512 has 144 divisors (see below), whose sum is σ = 68288835888. Its totient is φ = 7441244160.

The previous prime is 23161852451. The next prime is 23161852513. The reversal of 23161852512 is 21525816132.

23161852512 is a `hidden beast` number, since 2 + 3 + 1 + 61 + 85 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23161852513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968248 + ... + 991880.

It is an arithmetic number, because the mean of its divisors is an integer number (474228027).

Almost surely, 223161852512 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 23161852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34144417944).

23161852512 is an abundant number, since it is smaller than the sum of its proper divisors (45126983376).

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

23161852512 is a wasteful number, since it uses less digits than its factorization.

23161852512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23773 (or 23762 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 23161852512 in words is "twenty-three billion, one hundred sixty-one million, eight hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 83 96 123 144 164 166 246 249 288 328 332 369 492 498 656 664 738 747 984 996 1312 1328 1476 1494 1968 1992 2656 2952 2988 3403 3936 3984 5904 5976 6806 7968 10209 11808 11952 13612 20418 23633 23904 27224 30627 40836 47266 54448 61254 70899 81672 94532 108896 122508 141798 163344 189064 212697 245016 283596 326688 378128 425394 490032 567192 756256 850788 968953 980064 1134384 1701576 1937906 1961539 2268768 2906859 3403152 3875812 3923078 5813718 5884617 6806304 7751624 7846156 8720577 11627436 11769234 15503248 15692312 17441154 17653851 23254872 23538468 31006496 31384624 34882308 35307702 46509744 47076936 62769248 69764616 70615404 80423099 93019488 94153872 139529232 141230808 160846198 188307744 241269297 279058464 282461616 321692396 482538594 564923232 643384792 723807891 965077188 1286769584 1447615782 1930154376 2573539168 2895231564 3860308752 5790463128 7720617504 11580926256 23161852512