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12883355382369 = 3177571759189713
BaseRepresentation
bin1011101101111010001111…
…0100100011001001100001
31200121122012012002000002010
42323132203310203021201
53142040102434213434
643222310505343133
72466535361614023
oct273364364431141
950548165060063
1012883355382369
11411788927705a
121540a69797aa9
13725b839a4604
143277b4594013
151751d40739e9
hexbb7a3d23261

12883355382369 has 32 divisors (see below), whose sum is σ = 18222743024640. Its totient is φ = 8068363333632.

The previous prime is 12883355382349. The next prime is 12883355382407. The reversal of 12883355382369 is 96328355338821.

It is a happy number.

It is not a de Polignac number, because 12883355382369 - 216 = 12883355316833 is a prime.

It is a super-2 number, since 2×128833553823692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12883355382349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67814857 + ... + 68004569.

It is an arithmetic number, because the mean of its divisors is an integer number (569460719520).

Almost surely, 212883355382369 is an apocalyptic number.

It is an amenable number.

12883355382369 is a deficient number, since it is larger than the sum of its proper divisors (5339387642271).

12883355382369 is a wasteful number, since it uses less digits than its factorization.

12883355382369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192249.

The product of its digits is 223948800, while the sum is 66.

The spelling of 12883355382369 in words is "twelve trillion, eight hundred eighty-three billion, three hundred fifty-five million, three hundred eighty-two thousand, three hundred sixty-nine".

Divisors: 1 3 17 51 757 1759 2271 5277 12869 29903 38607 89709 189713 569139 1331563 3225121 3994689 9675363 22636571 67909713 143612741 333705167 430838223 1001115501 2441416597 5672987839 7324249791 17018963517 252614811419 757844434257 4294451794123 12883355382369