Search a number
-
+
12684116880 = 2432553332393
BaseRepresentation
bin10111101000000100…
…00100001110010000
31012201222101220021200
423310002010032100
5201434113220010
65454344351200
7626216133411
oct136402041620
935658356250
1012684116880
115419942826
12255ba75500
131271b02606
1488481d808
154e3856cc0
hex2f4084390

12684116880 has 120 divisors (see below), whose sum is σ = 43401349368. Its totient is φ = 3318601728.

The previous prime is 12684116833. The next prime is 12684116983. The reversal of 12684116880 is 8861148621.

It can be written as a sum of positive squares in 4 ways, for example, as 884943504 + 11799173376 = 29748^2 + 108624^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128037 + ... + 204356.

Almost surely, 212684116880 is an apocalyptic number.

12684116880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12684116880 is an abundant number, since it is smaller than the sum of its proper divisors (30717232488).

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

12684116880 is a wasteful number, since it uses less digits than its factorization.

12684116880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332465 (or 332456 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12684116880 in words is "twelve billion, six hundred eighty-four million, one hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 332393 664786 997179 1329572 1661965 1994358 2659144 2991537 3323930 3988716 4985895 5318288 5983074 6647860 7977432 9971790 11966148 13295720 14957685 15954864 17616829 19943580 23932296 26591440 29915370 35233658 39887160 47864592 52850487 59830740 70467316 79774320 88084145 105700974 119661480 140934632 158551461 176168290 211401948 239322960 264252435 281869264 317102922 352336580 422803896 528504870 634205844 704673160 792757305 845607792 1057009740 1268411688 1409346320 1585514610 2114019480 2536823376 3171029220 4228038960 6342058440 12684116880