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12323664108 = 2233788118503
BaseRepresentation
bin10110111101000110…
…00011000011101100
31011210212011000001000
423132203003003230
5200214324222413
65354510520300
7614251262610
oct133643030354
934725130030
1012323664108
115254429278
12247b206090
131215229752
1484c9d1340
154c1da6073
hex2de8c30ec

12323664108 has 96 divisors (see below), whose sum is σ = 36557982720. Its totient is φ = 3516860160.

The previous prime is 12323664107. The next prime is 12323664113. The reversal of 12323664108 is 80146632321.

12323664108 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 6 + 641 + 0 + 8 = 666.

12323664108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12323664103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 656785 + ... + 675287.

It is an arithmetic number, because the mean of its divisors is an integer number (380812320).

Almost surely, 212323664108 is an apocalyptic number.

12323664108 is a gapful number since it is divisible by the number (18) 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 12323664108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278991360).

12323664108 is an abundant number, since it is smaller than the sum of its proper divisors (24234318612).

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

12323664108 is a wasteful number, since it uses less digits than its factorization.

12323664108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19404 (or 19396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 12323664108 its sum of digits (36), we get a square (12323664144 = 1110122).

The spelling of 12323664108 in words is "twelve billion, three hundred twenty-three million, six hundred sixty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 881 1762 2643 3524 5286 6167 7929 10572 12334 15858 18501 18503 23787 24668 31716 37002 37006 47574 55503 55509 74004 74012 95148 111006 111018 129521 166509 166527 222012 222036 259042 333018 333054 388563 499581 518084 666036 666108 777126 999162 1165689 1554252 1998324 2331378 3497067 4662756 6994134 13988268 16301143 32602286 48903429 65204572 97806858 114108001 146710287 195613716 228216002 293420574 342324003 440130861 456432004 586841148 684648006 880261722 1026972009 1369296012 1760523444 2053944018 3080916027 4107888036 6161832054 12323664108