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13590346669 = 172425311057
BaseRepresentation
bin11001010100000110…
…00011101110101101
31022002010122010211221
430222003003232231
5210313112043134
610124320143341
7660532016644
oct145203035655
938063563757
1013590346669
11584443a669
122773467b51
13138779a763
1492cd1c35b
155481b45b4
hex32a0c3bad

13590346669 has 12 divisors (see below), whose sum is σ = 14441504724. Its totient is φ = 12786750464.

The previous prime is 13590346633. The next prime is 13590346687. The reversal of 13590346669 is 96664309531.

13590346669 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 143161225 + 13447185444 = 11965^2 + 115962^2 .

It is not a de Polignac number, because 13590346669 - 27 = 13590346541 is a prime.

It is a super-2 number, since 2×135903466692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13590346069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1223589 + ... + 1234645.

It is an arithmetic number, because the mean of its divisors is an integer number (1203458727).

Almost surely, 213590346669 is an apocalyptic number.

It is an amenable number.

13590346669 is a deficient number, since it is larger than the sum of its proper divisors (851158055).

13590346669 is a wasteful number, since it uses less digits than its factorization.

13590346669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15344 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 52.

The spelling of 13590346669 in words is "thirteen billion, five hundred ninety million, three hundred forty-six thousand, six hundred sixty-nine".

Divisors: 1 17 289 4253 11057 72301 187969 1229117 3195473 47025421 799432157 13590346669