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12323395924 = 227361229643
BaseRepresentation
bin10110111101000100…
…00001100101010100
31011210211122101011021
423132202001211110
5200214242132144
65354501050524
7614246065000
oct133642014524
934724571137
1012323395924
115254265834
12247b0b6a44
131215164668
1484c961700
154c1d51884
hex2de881954

12323395924 has 96 divisors (see below), whose sum is σ = 25713632000. Its totient is φ = 5164145280.

The previous prime is 12323395891. The next prime is 12323395933. The reversal of 12323395924 is 42959332321.

It is a super-3 number, since 3×123233959243 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19165147 + ... + 19165789.

Almost surely, 212323395924 is an apocalyptic number.

12323395924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323395924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856816000).

12323395924 is an abundant number, since it is smaller than the sum of its proper divisors (13390236076).

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

12323395924 is a wasteful number, since it uses less digits than its factorization.

12323395924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 942 counting only the distinct ones).

The product of its digits is 349920, while the sum is 43.

The spelling of 12323395924 in words is "twelve billion, three hundred twenty-three million, three hundred ninety-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 229 244 343 427 458 643 686 854 916 1286 1372 1603 1708 2572 2989 3206 4501 5978 6412 9002 11221 11956 13969 18004 20923 22442 27938 31507 39223 41846 44884 55876 63014 78446 78547 83692 97783 126028 147247 156892 157094 195566 220549 274561 294494 314188 391132 441098 549122 588988 684481 882196 1030729 1098244 1368962 1921927 2061458 2737924 3843854 4122916 4791367 7215103 7687708 8982067 9582734 13453489 14430206 17964134 19165468 26906978 28860412 35928268 50505721 53813956 62874469 101011442 125748938 202022884 251497876 440121283 880242566 1760485132 3080848981 6161697962 12323395924