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12144465090 = 23251093123457
BaseRepresentation
bin10110100111101110…
…11101010011000010
31011100100221202012100
423103313131103002
5144332440340330
65325030011230
7606644151522
oct132367352302
934310852170
1012144465090
11517226340a
12242b1a6b16
1311b7076324
14832ca5682
154b12aa060
hex2d3ddd4c2

12144465090 has 48 divisors (see below), whose sum is σ = 31604754168. Its totient is φ = 3235534848.

The previous prime is 12144465023. The next prime is 12144465121. The reversal of 12144465090 is 9056444121.

12144465090 is a `hidden beast` number, since 1 + 2 + 144 + 4 + 6 + 509 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11588307201 + 556157889 = 107649^2 + 23583^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36642 + ... + 160098.

Almost surely, 212144465090 is an apocalyptic number.

12144465090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144465090 is an abundant number, since it is smaller than the sum of its proper divisors (19460289078).

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

12144465090 is a wasteful number, since it uses less digits than its factorization.

12144465090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124563 (or 124560 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12144465090 in words is "twelve billion, one hundred forty-four million, four hundred sixty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1093 2186 3279 5465 6558 9837 10930 16395 19674 32790 49185 98370 123457 246914 370371 617285 740742 1111113 1234570 1851855 2222226 3703710 5555565 11111130 134938501 269877002 404815503 674692505 809631006 1214446509 1349385010 2024077515 2428893018 4048155030 6072232545 12144465090