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12309557616 = 2432292947691
BaseRepresentation
bin10110111011011010…
…01111000101110000
31011202212121022120100
423131231033011300
5200202221320431
65353244312400
7614020341036
oct133555170560
934685538510
1012309557616
115247473914
122476542700
13121232aa05
1484ab9c556
154c0a1b4e6
hex2ddb4f170

12309557616 has 60 divisors (see below), whose sum is σ = 35637596280. Its totient is φ = 3961695360.

The previous prime is 12309557567. The next prime is 12309557629. The reversal of 12309557616 is 61675590321.

12309557616 is a `hidden beast` number, since 1 + 2 + 30 + 9 + 557 + 61 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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, 1469670 + ... + 1478021.

It is an arithmetic number, because the mean of its divisors is an integer number (593959938).

Almost surely, 212309557616 is an apocalyptic number.

12309557616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12309557616 is an abundant number, since it is smaller than the sum of its proper divisors (23328038664).

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

12309557616 is a wasteful number, since it uses less digits than its factorization.

12309557616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947734 (or 2947725 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 12309557616 in words is "twelve billion, three hundred nine million, five hundred fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 2947691 5895382 8843073 11790764 17686146 23581528 26529219 35372292 47163056 53058438 70744584 85483039 106116876 141489168 170966078 212233752 256449117 341932156 424467504 512898234 683864312 769347351 1025796468 1367728624 1538694702 2051592936 3077389404 4103185872 6154778808 12309557616