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12345666706660 = 2257233739512137
BaseRepresentation
bin1011001110100111001100…
…0101000001110011100100
31121201020022201222012012111
42303221303011001303210
53104232411134103120
642131304311130404
72412642062361340
oct263516305016344
947636281865174
1012345666706660
113a2a84a006791
12147480a973a04
136b72645b29c1
14309767b3c620
1516621481575a
hexb3a73141ce4

12345666706660 has 96 divisors (see below), whose sum is σ = 29797090202880. Its totient is φ = 4208922114048.

The previous prime is 12345666706643. The next prime is 12345666706661. The reversal of 12345666706660 is 6660766654321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12345666706595 and 12345666706604.

It is not an unprimeable number, because it can be changed into a prime (12345666706661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23850112 + ... + 24362248.

It is an arithmetic number, because the mean of its divisors is an integer number (310386356280).

Almost surely, 212345666706660 is an apocalyptic number.

12345666706660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12345666706660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898545101440).

12345666706660 is an abundant number, since it is smaller than the sum of its proper divisors (17451423496220).

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

12345666706660 is a wasteful number, since it uses less digits than its factorization.

12345666706660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513125 (or 513123 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 58.

The spelling of 12345666706660 in words is "twelve trillion, three hundred forty-five billion, six hundred sixty-six million, seven hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 233 466 739 932 1165 1478 1631 2330 2956 3262 3695 4660 5173 6524 7390 8155 10346 14780 16310 20692 25865 32620 51730 103460 172187 344374 512137 688748 860935 1024274 1205309 1721870 2048548 2410618 2560685 3443740 3584959 4821236 5121370 6026545 7169918 10242740 12053090 14339836 17924795 24106180 35849590 71699180 119327921 238655842 378469243 477311684 596639605 756938486 835295447 1193279210 1513876972 1670590894 1892346215 2386558420 2649284701 3341181788 3784692430 4176477235 5298569402 7569384860 8352954470 10597138804 13246423505 16705908940 26492847010 52985694020 88183333619 176366667238 352733334476 440916668095 617283335333 881833336190 1234566670666 1763666672380 2469133341332 3086416676665 6172833353330 12345666706660