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12263659272 = 23323124212
BaseRepresentation
bin10110110101111100…
…01001011100001000
31011122200020102212200
423122332021130020
5200103444044042
65344524440200
7612622245444
oct133276113410
934580212780
1012263659272
1152235747a7
1224630a9060
13120597a527
14844a51824
154bb9a1c4c
hex2daf89708

12263659272 has 108 divisors (see below), whose sum is σ = 34401775005. Its totient is φ = 3946622400.

The previous prime is 12263659237. The next prime is 12263659279. The reversal of 12263659272 is 27295636221.

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.

12263659272 is a `hidden beast` number, since 1 + 2 + 2 + 636 + 5 + 9 + 2 + 7 + 2 = 666.

12263659272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6974588196 + 5289071076 = 83514^2 + 72726^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78306.

It is not an unprimeable number, because it can be changed into a prime (12263659279) 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 26 ways as a sum of consecutive naturals, for example, 29129622 + ... + 29130042.

Almost surely, 212263659272 is an apocalyptic number.

12263659272 is a gapful number since it is divisible by the number (12) 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 12263659272

12263659272 is an abundant number, since it is smaller than the sum of its proper divisors (22138115733).

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

12263659272 is an equidigital number, since it uses as much as digits as its factorization.

12263659272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 457 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12263659272 in words is "twelve billion, two hundred sixty-three million, six hundred fifty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 421 558 744 842 961 1116 1263 1684 1922 2232 2526 2883 3368 3789 3844 5052 5766 7578 7688 8649 10104 11532 13051 15156 17298 23064 26102 30312 34596 39153 52204 69192 78306 104408 117459 156612 177241 234918 313224 354482 404581 469836 531723 708964 809162 939672 1063446 1213743 1417928 1595169 1618324 2126892 2427486 3190338 3236648 3641229 4253784 4854972 5494471 6380676 7282458 9709944 10988942 12761352 14564916 16483413 21977884 29129832 32966826 43955768 49450239 65933652 98900478 131867304 170328601 197800956 340657202 395601912 510985803 681314404 1021971606 1362628808 1532957409 2043943212 3065914818 4087886424 6131829636 12263659272