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13765027765 = 553113459677
BaseRepresentation
bin11001101000111010…
…11010011110110101
31022112022022212021011
430310131122132311
5211142321342030
610153520152221
7665052543166
oct146435323665
938468285234
1013765027765
115923aaa105
122801a68671
1313b4a2b658
149481cd76d
155586bbb2a
hex33475a7b5

13765027765 has 16 divisors (see below), whose sum is σ = 16978666608. Its totient is φ = 10708612096.

The previous prime is 13765027763. The next prime is 13765027769. The reversal of 13765027765 is 56772056731.

It can be written as a sum of positive squares in 8 ways, for example, as 2257960324 + 11507067441 = 47518^2 + 107271^2 .

It is a cyclic number.

It is not a de Polignac number, because 13765027765 - 21 = 13765027763 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765027763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199894 + ... + 259783.

It is an arithmetic number, because the mean of its divisors is an integer number (1061166663).

Almost surely, 213765027765 is an apocalyptic number.

It is an amenable number.

13765027765 is a deficient number, since it is larger than the sum of its proper divisors (3213638843).

13765027765 is a wasteful number, since it uses less digits than its factorization.

13765027765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459848.

The product of its (nonzero) digits is 1852200, while the sum is 49.

The spelling of 13765027765 in words is "thirteen billion, seven hundred sixty-five million, twenty-seven thousand, seven hundred sixty-five".

Divisors: 1 5 53 113 265 565 5989 29945 459677 2298385 24362881 51943501 121814405 259717505 2753005553 13765027765