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12266341362 = 23211224123369
BaseRepresentation
bin10110110110010000…
…11000001111110010
31011122212021201000100
423123020120033302
5200110140410422
65345102133230
7612654116112
oct133310301762
934585251010
1012266341362
115225036900
122463b81216
1312063a9272
1484514d042
154bbd317ac
hex2db2183f2

12266341362 has 72 divisors (see below), whose sum is σ = 29335285980. Its totient is φ = 3701491200.

The previous prime is 12266341333. The next prime is 12266341387. The reversal of 12266341362 is 26314366221.

12266341362 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 634 + 13 + 6 + 2 = 666.

12266341362 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 12170281761 + 96059601 = 110319^2 + 9801^2 .

It is a super-2 number, since 2×122663413622 (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 513214 + ... + 536582.

Almost surely, 212266341362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12266341362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667642990).

12266341362 is an abundant number, since it is smaller than the sum of its proper divisors (17068944618).

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

12266341362 is a wasteful number, since it uses less digits than its factorization.

12266341362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23640 (or 23626 counting only the distinct ones).

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

It can be divided in two parts, 122663 and 41362, that added together give a square (164025 = 4052).

The spelling of 12266341362 in words is "twelve billion, two hundred sixty-six million, three hundred forty-one thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 241 242 363 482 723 726 1089 1446 2169 2178 2651 4338 5302 7953 15906 23369 23859 29161 46738 47718 58322 70107 87483 140214 174966 210321 257059 262449 420642 514118 524898 771177 1542354 2313531 2827649 4627062 5631929 5655298 8482947 11263858 16895787 16965894 25448841 33791574 50687361 50897682 61951219 101374722 123902438 185853657 371707314 557560971 681463409 1115121942 1362926818 2044390227 4088780454 6133170681 12266341362