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12961660665666 = 23191912227126729
BaseRepresentation
bin1011110010011101111100…
…1011011111111101000010
31200220010022102021112210210
42330213133023133331002
53144330440112300131
643322301003334550
72505310014546426
oct274473713377502
950803272245723
1012961660665666
114148011599419
121554081b21456
1373038298c87b
1432b4c2220b86
15177268884146
hexbc9df2dff42

12961660665666 has 64 divisors (see below), whose sum is σ = 27432832204800. Its totient is φ = 4071390710400.

The previous prime is 12961660665643. The next prime is 12961660665683. The reversal of 12961660665666 is 66656606616921.

It is a super-3 number, since 3×129616606656663 (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 12961660665597 and 12961660665606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484915390 + ... + 484942118.

It is an arithmetic number, because the mean of its divisors is an integer number (428638003200).

Almost surely, 212961660665666 is an apocalyptic number.

12961660665666 is an abundant number, since it is smaller than the sum of its proper divisors (14471171539134).

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

12961660665666 is a wasteful number, since it uses less digits than its factorization.

12961660665666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49215.

The product of its (nonzero) digits is 151165440, while the sum is 66.

The spelling of 12961660665666 in words is "twelve trillion, nine hundred sixty-one billion, six hundred sixty million, six hundred sixty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 19 38 57 114 191 382 573 1146 3629 7258 10887 21774 22271 26729 44542 53458 66813 80187 133626 160374 423149 507851 846298 1015702 1269447 1523553 2538894 3047106 4253761 5105239 8507522 10210478 12761283 15315717 25522566 30631434 80821459 96999541 161642918 193999082 242464377 290998623 484928754 581997246 595281559 1190563118 1785844677 3571689354 11310349621 22620699242 33931048863 67862097726 113698777769 227397555538 341096333307 682192666614 2160276777611 4320553555222 6480830332833 12961660665666