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4083281028369 = 3273292272
BaseRepresentation
bin111011011010110110100…
…000111110010100010001
3112110100122212122021201100
4323122312200332110101
51013400024420401434
612403500003255013
7601002340033104
oct73326640762421
915410585567640
104083281028369
111334789764944
1255b44a67a469
132380898cc54a
141018bbb5673b
1571337530699
hex3b6b683e511

4083281028369 has 27 divisors (see below), whose sum is σ = 5980623064923. Its totient is φ = 2684606131872.

The previous prime is 4083281028361. The next prime is 4083281028377. The reversal of 4083281028369 is 9638201823804.

The square root of 4083281028369 is 2020713.

It is a perfect power (a square), and thus also a powerful number.

4083281028369 is a `hidden beast` number, since 4 + 0 + 83 + 281 + 0 + 283 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (4083281028361) and next prime (4083281028377).

It can be written as a sum of positive squares in only one way, i.e., 2317869227025 + 1765411801344 = 1522455^2 + 1328688^2 .

It is not a de Polignac number, because 4083281028369 - 23 = 4083281028361 is a prime.

It is a super-2 number, since 2×40832810283692 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4083281028361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 442531534 + ... + 442540760.

Almost surely, 24083281028369 is an apocalyptic number.

4083281028369 is the 2020713-rd square number.

4083281028369 is the 1010357-th centered octagonal number.

It is an amenable number.

4083281028369 is a deficient number, since it is larger than the sum of its proper divisors (1897342036554).

4083281028369 is an frugal number, since it uses more digits than its factorization.

4083281028369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18606 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4083281028369 in words is "four trillion, eighty-three billion, two hundred eighty-one million, twenty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 73 219 657 5329 9227 15987 27681 47961 83043 673571 2020713 6062139 49170683 85137529 147512049 255412587 442536147 766237761 6215039617 18645118851 55935356553 453697892041 1361093676123 4083281028369