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12293747208 = 23327321792
BaseRepresentation
bin10110111001100001…
…11011001000001000
31011201202212001202200
423130300323020020
5200134144402313
65351521400200
7613436061411
oct133460731010
934652761680
1012293747208
115239555266
122471199060
13120bc83542
14848a44808
154be446b73
hex2dcc3b208

12293747208 has 108 divisors (see below), whose sum is σ = 33947562285. Its totient is φ = 4019200128.

The previous prime is 12293747203. The next prime is 12293747237. The reversal of 12293747208 is 80274739221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12237226884 + 56520324 = 110622^2 + 7518^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78402.

It is a super-2 number, since 2×122937472082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12293747203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68680063 + ... + 68680241.

Almost surely, 212293747208 is an apocalyptic number.

12293747208 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 12293747208

12293747208 is an abundant number, since it is smaller than the sum of its proper divisors (21653815077).

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

12293747208 is an equidigital number, since it uses as much as digits as its factorization.

12293747208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12293747208 in words is "twelve billion, two hundred ninety-three million, seven hundred forty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 179 219 292 358 438 537 584 657 716 876 1074 1314 1432 1611 1752 2148 2628 3222 4296 5256 5329 6444 10658 12888 13067 15987 21316 26134 31974 32041 39201 42632 47961 52268 63948 64082 78402 95922 96123 104536 117603 127896 128164 156804 191844 192246 235206 256328 288369 313608 383688 384492 470412 576738 768984 940824 953891 1153476 1907782 2306952 2338993 2861673 3815564 4677986 5723346 7016979 7631128 8585019 9355972 11446692 14033958 17170038 18711944 21050937 22893384 28067916 34340076 42101874 56135832 68680152 84203748 168407496 170746489 341492978 512239467 682985956 1024478934 1365971912 1536718401 2048957868 3073436802 4097915736 6146873604 12293747208