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12882290765355 = 3251171467784897
BaseRepresentation
bin1011101101110110010001…
…0111010110111000101011
31200121112102222210212002100
42323131210113112320223
53142030412413442410
643222013115104443
72466500113536234
oct273354427267053
950545388725070
1012882290765355
114117392329590
121540811142123
13725a44261b0b
1432771302608b
1517517087b8c0
hexbb7645d6e2b

12882290765355 has 96 divisors (see below), whose sum is σ = 24755255935488. Its totient is φ = 6144793804800.

The previous prime is 12882290765353. The next prime is 12882290765363. The reversal of 12882290765355 is 55356709228821.

It is a happy number.

12882290765355 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 2 + 90 + 7 + 6 + 535 + 5 = 666.

It is not a de Polignac number, because 12882290765355 - 21 = 12882290765353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12882290765292 and 12882290765301.

It is not an unprimeable number, because it can be changed into a prime (12882290765353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16020267 + ... + 16805163.

It is an arithmetic number, because the mean of its divisors is an integer number (257867249328).

Almost surely, 212882290765355 is an apocalyptic number.

12882290765355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12882290765355 is a deficient number, since it is larger than the sum of its proper divisors (11872965170133).

12882290765355 is a wasteful number, since it uses less digits than its factorization.

12882290765355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785457 (or 785454 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 12882290765355 in words is "twelve trillion, eight hundred eighty-two billion, two hundred ninety million, seven hundred sixty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 165 213 355 467 495 639 781 1065 1401 2335 2343 3195 3905 4203 5137 7005 7029 11715 15411 21015 25685 33157 35145 46233 77055 99471 165785 231165 298413 364727 497355 784897 1094181 1492065 1823635 2354691 3282543 3924485 5470905 7064073 8633867 11773455 16412715 25901601 35320365 43169335 55727687 77704803 129508005 167183061 278638435 366546899 388524015 501549183 613004557 835915305 1099640697 1832734495 1839013671 2507745915 3065022785 3298922091 4032015889 5498203485 5517041013 9195068355 12096047667 16494610455 20160079445 26024829829 27585205065 36288143001 60480238335 78074489487 130124149145 181440715005 234223468461 286273128119 390372447435 858819384357 1171117342305 1431365640595 2576458153071 4294096921785 12882290765355