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12017868435320 = 2351149954736147
BaseRepresentation
bin1010111011100010000011…
…0001110110111101111000
31120112220012220200200000012
42232320200301312331320
53033400043304412240
641320533232401052
72350155661136066
oct256704061667570
946486186620005
1012017868435320
113913827476820
1214211879a6188
136923845a7437
142d794cb5d036
1515c92b98bb65
hexaee20c76f78

12017868435320 has 64 divisors (see below), whose sum is σ = 29557519920000. Its totient is φ = 4361376113280.

The previous prime is 12017868435311. The next prime is 12017868435329. The reversal of 12017868435320 is 2353486871021.

It is an interprime number because it is at equal distance from previous prime (12017868435311) and next prime (12017868435329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12017868435329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27148514 + ... + 27587633.

It is an arithmetic number, because the mean of its divisors is an integer number (461836248750).

Almost surely, 212017868435320 is an apocalyptic number.

12017868435320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12017868435320 is an abundant number, since it is smaller than the sum of its proper divisors (17539651484680).

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

12017868435320 is a wasteful number, since it uses less digits than its factorization.

12017868435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54736668 (or 54736664 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 12017868435320 in words is "twelve trillion, seventeen billion, eight hundred sixty-eight million, four hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 499 998 1996 2495 3992 4990 5489 9980 10978 19960 21956 27445 43912 54890 109780 219560 54736147 109472294 218944588 273680735 437889176 547361470 602097617 1094722940 1204195234 2189445880 2408390468 3010488085 4816780936 6020976170 12041952340 24083904680 27313337353 54626674706 109253349412 136566686765 218506698824 273133373530 300446710883 546266747060 600893421766 1092533494120 1201786843532 1502233554415 2403573687064 3004467108830 6008934217660 12017868435320