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12960314280 = 233454618677
BaseRepresentation
bin11000001000111111…
…01011001110101000
31020110020010011220000
430010133223032220
5203020320024110
65542012303000
7636111565554
oct140437531650
936406104800
1012960314280
115550839a41
122618471a60
1312b70b8224
148ad398864
1550cc131c0
hex3047eb3a8

12960314280 has 160 divisors (see below), whose sum is σ = 43660580040. Its totient is φ = 3448189440.

The previous prime is 12960314273. The next prime is 12960314291. The reversal of 12960314280 is 8241306921.

12960314280 is a `hidden beast` number, since 1 + 2 + 9 + 60 + 314 + 280 = 666.

12960314280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7846062084 + 5114252196 = 88578^2 + 71514^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1489302 + ... + 1497978.

Almost surely, 212960314280 is an apocalyptic number.

12960314280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960314280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830290020).

12960314280 is an abundant number, since it is smaller than the sum of its proper divisors (30700265760).

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

12960314280 is a wasteful number, since it uses less digits than its factorization.

12960314280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12960314280 in words is "twelve billion, nine hundred sixty million, three hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 461 540 648 810 922 1080 1383 1620 1844 2305 2766 3240 3688 4149 4610 5532 6915 8298 8677 9220 11064 12447 13830 16596 17354 18440 20745 24894 26031 27660 33192 34708 37341 41490 43385 49788 52062 55320 62235 69416 74682 78093 82980 86770 99576 104124 124470 130155 149364 156186 165960 173540 186705 208248 234279 248940 260310 298728 312372 347080 373410 390465 468558 497880 520620 624744 702837 746820 780930 937116 1041240 1171395 1405674 1493640 1561860 1874232 2342790 2811348 3123720 3514185 4000097 4685580 5622696 7028370 8000194 9371160 12000291 14056740 16000388 20000485 24000582 28113480 32000776 36000873 40000970 48001164 60001455 72001746 80001940 96002328 108002619 120002910 144003492 160003880 180004365 216005238 240005820 288006984 324007857 360008730 432010476 480011640 540013095 648015714 720017460 864020952 1080026190 1296031428 1440034920 1620039285 2160052380 2592062856 3240078570 4320104760 6480157140 12960314280