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12741486340 = 2251125265077
BaseRepresentation
bin10111101110111001…
…11010011100000100
31012212222100120101111
423313130322130010
5202043310030330
65504154134404
7630513563332
oct136734723404
935788316344
1012741486340
115449267300
122577121404
13128096b13b
1488c2b4b52
154e88da32a
hex2f773a704

12741486340 has 36 divisors (see below), whose sum is σ = 29410725708. Its totient is φ = 4633266880.

The previous prime is 12741486337. The next prime is 12741486343. The reversal of 12741486340 is 4368414721.

It is an interprime number because it is at equal distance from previous prime (12741486337) and next prime (12741486343).

It can be written as a sum of positive squares in 2 ways, for example, as 8420264644 + 4321221696 = 91762^2 + 65736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12741486293 and 12741486302.

It is not an unprimeable number, because it can be changed into a prime (12741486343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2630119 + ... + 2634958.

It is an arithmetic number, because the mean of its divisors is an integer number (816964603).

Almost surely, 212741486340 is an apocalyptic number.

12741486340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12741486340 is an abundant number, since it is smaller than the sum of its proper divisors (16669239368).

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

12741486340 is a wasteful number, since it uses less digits than its factorization.

12741486340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265108 (or 5265095 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 12741486340 in words is "twelve billion, seven hundred forty-one million, four hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5265077 10530154 21060308 26325385 52650770 57915847 105301540 115831694 231663388 289579235 579158470 637074317 1158316940 1274148634 2548297268 3185371585 6370743170 12741486340