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7686331838055 = 3451323113561713
BaseRepresentation
bin110111111011001110100…
…0101000010111001100111
31000012210202200101210210000
41233312131011002321213
52001413101422304210
624203015130432343
71422214316430123
oct157663505027147
930183680353700
107686331838055
1124a3833a38632
12a417b4b926b3
13439a83150c80
141c8040164583
15d4e14870ac0
hex6fd9d142e67

7686331838055 has 160 divisors (see below), whose sum is σ = 15620538358656. Its totient is φ = 3587479289856.

The previous prime is 7686331838047. The next prime is 7686331838057. The reversal of 7686331838055 is 5508381336867.

It is a happy number.

7686331838055 is a `hidden beast` number, since 76 + 86 + 331 + 83 + 80 + 5 + 5 = 666.

It is not a de Polignac number, because 7686331838055 - 23 = 7686331838047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7686331837983 and 7686331838001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686331838057) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13402879 + ... + 13964591.

Almost surely, 27686331838055 is an apocalyptic number.

7686331838055 is an abundant number, since it is smaller than the sum of its proper divisors (7934206520601).

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

7686331838055 is a wasteful number, since it uses less digits than its factorization.

7686331838055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561879 (or 561870 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 7686331838055 in words is "seven trillion, six hundred eighty-six billion, three hundred thirty-one million, eight hundred thirty-eight thousand, fifty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 81 113 115 117 135 195 207 299 339 345 351 405 565 585 621 897 1017 1035 1053 1469 1495 1695 1755 1863 2599 2691 3051 3105 4407 4485 5085 5265 7345 7797 8073 9153 9315 12995 13221 13455 15255 22035 23391 24219 33787 38985 39663 40365 45765 66105 70173 101361 116955 118989 121095 168935 198315 210519 304083 350865 506805 561713 594945 912249 1052595 1520415 1685139 2736747 2808565 4561245 5055417 7302269 8425695 12919399 13683735 15166251 21906807 25277085 36511345 38758197 45498753 63473569 64596995 65720421 75831255 109534035 116274591 167952187 190420707 193790985 197161263 227493765 317367845 328602105 348823773 503856561 571262121 581372955 591483789 825156397 839760935 952103535 985806315 1046471319 1459892087 1511569683 1713786363 1744118865 2475469191 2519282805 2856310605 2957418945 4125781985 4379676261 4534709049 5141359089 5232356595 7299460435 7426407573 7557848415 8568931815 12377345955 13139028783 13604127147 18978597131 21898381305 22279222719 22673545245 25706795445 37132037865 39417086349 56935791393 65695143915 66837668157 68020635735 94892985655 111396113595 118251259047 170807374179 197085431745 284678956965 334188340785 512422122537 591256295235 854036870895 1537266367611 2562110612685 7686331838055