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213873822765 = 345617855889
BaseRepresentation
bin1100011100101111011…
…1111000110000101101
3202110001020022220110000
43013023313320300231
512001003144312030
6242130254134513
721310664332611
oct3071367706055
9673036286400
10213873822765
1182781219629
1235549ab1439
1317225750565
14a4cc911341
15586b481860
hex31cbdf8c2d

213873822765 has 40 divisors (see below), whose sum is σ = 384010454520. Its totient is φ = 113881033728.

The previous prime is 213873822727. The next prime is 213873822797. The reversal of 213873822765 is 567228378312.

213873822765 is a `hidden beast` number, since 2 + 1 + 387 + 38 + 227 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8292287844 + 205581534921 = 91062^2 + 453411^2 .

It is not a de Polignac number, because 213873822765 - 27 = 213873822637 is a prime.

It is a super-2 number, since 2×2138738227652 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178060 + ... + 677829.

It is an arithmetic number, because the mean of its divisors is an integer number (9600261363).

Almost surely, 2213873822765 is an apocalyptic number.

It is an amenable number.

213873822765 is a deficient number, since it is larger than the sum of its proper divisors (170136631755).

213873822765 is an equidigital number, since it uses as much as digits as its factorization.

213873822765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856523 (or 856514 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 213873822765 in words is "two hundred thirteen billion, eight hundred seventy-three million, eight hundred twenty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 617 1851 3085 5553 9255 16659 27765 49977 83295 249885 855889 2567667 4279445 7703001 12838335 23109003 38515005 69327009 115545015 346635045 528083513 1584250539 2640417565 4752751617 7921252695 14258254851 23763758085 42774764553 71291274255 213873822765