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12676029799248 = 2432181486342457
BaseRepresentation
bin1011100001110101111001…
…0000001101101101010000
31122212211001022102010201100
42320131132100031231100
53130141002112033443
642543142050504400
72445545556336564
oct270353620155520
948784038363640
1012676029799248
1140479683a3932
121508848895100
1370c462a94c8a
1431b7476036a4
1516eaec9213d3
hexb875e40db50

12676029799248 has 60 divisors (see below), whose sum is σ = 35671273924468. Its totient is φ = 4201998819840.

The previous prime is 12676029799247. The next prime is 12676029799253. The reversal of 12676029799248 is 84299792067621.

12676029799248 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 0 + 297 + 99 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 987097886784 + 11688931912464 = 993528^2 + 3418908^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12676029799243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243145165 + ... + 243197292.

Almost surely, 212676029799248 is an apocalyptic number.

12676029799248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12676029799248 is an abundant number, since it is smaller than the sum of its proper divisors (22995244125220).

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

12676029799248 is a wasteful number, since it uses less digits than its factorization.

12676029799248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486342652 (or 486342643 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 12676029799248 in words is "twelve trillion, six hundred seventy-six billion, twenty-nine million, seven hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 543 724 1086 1448 1629 2172 2896 3258 4344 6516 8688 13032 26064 486342457 972684914 1459027371 1945369828 2918054742 3890739656 4377082113 5836109484 7781479312 8754164226 11672218968 17508328452 23344437936 35016656904 70033313808 88027984717 176055969434 264083954151 352111938868 528167908302 704223877736 792251862453 1056335816604 1408447755472 1584503724906 2112671633208 3169007449812 4225343266416 6338014899624 12676029799248