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13505327661 = 3719311091869
BaseRepresentation
bin11001001001111101…
…01111001000101101
31021212012122201200210
430210332233020231
5210124330441121
610112042013033
7655450251060
oct144476571055
937765581623
1013505327661
115800450621
12274aaa7179
131372ca0a57
1492190a8d7
155409bd876
hex324faf22d

13505327661 has 32 divisors (see below), whose sum is σ = 22361497600. Its totient is φ = 7075304640.

The previous prime is 13505327639. The next prime is 13505327683. The reversal of 13505327661 is 16672350531.

It is an interprime number because it is at equal distance from previous prime (13505327639) and next prime (13505327683).

It is not a de Polignac number, because 13505327661 - 26 = 13505327597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505327621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533566 + ... + 558303.

It is an arithmetic number, because the mean of its divisors is an integer number (698796800).

Almost surely, 213505327661 is an apocalyptic number.

It is an amenable number.

13505327661 is a deficient number, since it is larger than the sum of its proper divisors (8856169939).

13505327661 is a wasteful number, since it uses less digits than its factorization.

13505327661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091929.

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 13505327661 in words is "thirteen billion, five hundred five million, three hundred twenty-seven thousand, six hundred sixty-one".

Divisors: 1 3 7 19 21 31 57 93 133 217 399 589 651 1767 4123 12369 1091869 3275607 7643083 20745511 22929249 33847939 62236533 101543817 145218577 236935573 435655731 643110841 710806719 1929332523 4501775887 13505327661