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12262193028 = 2232477247159
BaseRepresentation
bin10110110101110001…
…00011011110000100
31011122120110221120100
423122320203132010
5200103110134103
65344433204100
7612603630621
oct133270433604
934576427510
1012262193028
115222763128
122462700630
131205586027
1484478d348
154bb7b25a3
hex2dae23784

12262193028 has 36 divisors (see below), whose sum is σ = 31655594880. Its totient is φ = 4000431216.

The previous prime is 12262192991. The next prime is 12262193059. The reversal of 12262193028 is 82039126221.

It is a happy number.

12262193028 is a `hidden beast` number, since 1 + 2 + 2 + 621 + 9 + 3 + 0 + 28 = 666.

12262193028 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 (36).

It is a super-2 number, since 2×122621930282 (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 a junction number, because it is equal to n+sod(n) for n = 12262192983 and 12262193001.

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 11 ways as a sum of consecutive naturals, for example, 3621888 + ... + 3625271.

It is an arithmetic number, because the mean of its divisors is an integer number (879322080).

Almost surely, 212262193028 is an apocalyptic number.

12262193028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12262193028 is an abundant number, since it is smaller than the sum of its proper divisors (19393401852).

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

12262193028 is a wasteful number, since it uses less digits than its factorization.

12262193028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247216 (or 7247211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12262193028 in words is "twelve billion, two hundred sixty-two million, one hundred ninety-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 7247159 14494318 21741477 28988636 43482954 65224431 86965908 130448862 260897724 340616473 681232946 1021849419 1362465892 2043698838 3065548257 4087397676 6131096514 12262193028