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12134477056 = 281317214481
BaseRepresentation
bin10110100110100010…
…10110110100000000
31011022200011022012011
423103101112310000
5144322411231211
65324031542304
7606463232062
oct132321266400
934280138164
1012134477056
115167661239
12242798a994
1311b4c8a050
14831825732
154b0485921
hex2d3456d00

12134477056 has 72 divisors (see below), whose sum is σ = 27619276104. Its totient is φ = 5271060480.

The previous prime is 12134477051. The next prime is 12134477059. The reversal of 12134477056 is 65077443121.

It can be written as a sum of positive squares in 4 ways, for example, as 1268499456 + 10865977600 = 35616^2 + 104240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134477051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50665 + ... + 163816.

It is an arithmetic number, because the mean of its divisors is an integer number (383601057).

Almost surely, 212134477056 is an apocalyptic number.

12134477056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12134477056 is an abundant number, since it is smaller than the sum of its proper divisors (15484799048).

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

12134477056 is a wasteful number, since it uses less digits than its factorization.

12134477056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214527 (or 214513 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 12134477056 in words is "twelve billion, one hundred thirty-four million, four hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2176 3328 3536 4352 7072 14144 28288 56576 214481 428962 857924 1715848 2788253 3431696 3646177 5576506 6863392 7292354 11153012 13726784 14584708 22306024 27453568 29169416 44612048 47400301 54907136 58338832 89224096 94800602 116677664 178448192 189601204 233355328 356896384 379202408 466710656 713792768 758404816 933421312 1516809632 3033619264 6067238528 12134477056