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12343466016 = 253372040917
BaseRepresentation
bin10110111111011101…
…00101100000100000
31011212020102001011000
423133232211200200
5200234411403031
65400455152000
7614611505250
oct133756454040
934766361130
1012343466016
115264623792
122485975600
13121937095b
148514a7960
154c39b83e6
hex2dfba5820

12343466016 has 96 divisors (see below), whose sum is σ = 41144906880. Its totient is φ = 3526702848.

The previous prime is 12343465997. The next prime is 12343466021. The reversal of 12343466016 is 61066434321.

12343466016 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 3 + 46 + 601 + 6 = 666.

12343466016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123434660162 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014411 + ... + 1026506.

It is an arithmetic number, because the mean of its divisors is an integer number (428592780).

Almost surely, 212343466016 is an apocalyptic number.

12343466016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12343466016 is an abundant number, since it is smaller than the sum of its proper divisors (28801440864).

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

12343466016 is a wasteful number, since it uses less digits than its factorization.

12343466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040943 (or 2040929 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 12343466016 in words is "twelve billion, three hundred forty-three million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 2040917 4081834 6122751 8163668 12245502 14286419 16327336 18368253 24491004 28572838 32654672 36736506 42859257 48982008 55104759 57145676 65309344 73473012 85718514 97964016 110209518 114291352 128577771 146946024 171437028 195928032 220419036 228582704 257155542 293892048 342874056 385733313 440838072 457165408 514311084 587784096 685748112 771466626 881676144 1028622168 1371496224 1542933252 1763352288 2057244336 3085866504 4114488672 6171733008 12343466016