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12738973512 = 2333738091759
BaseRepresentation
bin10111101110100110…
…10100111101001000
31012212210121220102210
423313103110331020
5202042134123022
65504024225120
7630453326316
oct136723247510
935783556383
1012738973512
115447900391
12257630b1a0
13128029b465
1488bc1d0b6
154e8590a0c
hex2f74d4f48

12738973512 has 64 divisors (see below), whose sum is σ = 31990464000. Its totient is φ = 4227300864.

The previous prime is 12738973493. The next prime is 12738973517. The reversal of 12738973512 is 21537983721.

It is a super-2 number, since 2×127389735122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12738973517) 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 15 ways as a sum of consecutive naturals, for example, 7241289 + ... + 7243047.

It is an arithmetic number, because the mean of its divisors is an integer number (499851000).

Almost surely, 212738973512 is an apocalyptic number.

12738973512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12738973512 is an abundant number, since it is smaller than the sum of its proper divisors (19251490488).

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

12738973512 is a wasteful number, since it uses less digits than its factorization.

12738973512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2946 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The spelling of 12738973512 in words is "twelve billion, seven hundred thirty-eight million, nine hundred seventy-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 373 746 809 1119 1492 1618 1759 2238 2427 2984 3236 3518 4476 4854 5277 6472 7036 8952 9708 10554 14072 19416 21108 42216 301757 603514 656107 905271 1207028 1312214 1423031 1810542 1968321 2414056 2624428 2846062 3621084 3936642 4269093 5248856 5692124 7242168 7873284 8538186 11384248 15746568 17076372 34152744 530790563 1061581126 1592371689 2123162252 3184743378 4246324504 6369486756 12738973512