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13765377665 = 5131491421309
BaseRepresentation
bin11001101000111101…
…01111111010000001
31022112022222122020102
430310132233322001
5211142414041130
610153531452145
7665055531254
oct146436577201
938468878212
1013765377665
115924218a86
122801bb7055
1313b4b219b0
1494828109b
1555873a645
hex3347afe81

13765377665 has 16 divisors (see below), whose sum is σ = 17908506000. Its totient is φ = 10096972032.

The previous prime is 13765377643. The next prime is 13765377667. The reversal of 13765377665 is 56677356731.

It can be written as a sum of positive squares in 8 ways, for example, as 2641034881 + 11124342784 = 51391^2 + 105472^2 .

It is a cyclic number.

It is not a de Polignac number, because 13765377665 - 222 = 13761183361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13765377665.

It is not an unprimeable number, because it can be changed into a prime (13765377667) 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 15 ways as a sum of consecutive naturals, for example, 700970 + ... + 720339.

It is an arithmetic number, because the mean of its divisors is an integer number (1119281625).

Almost surely, 213765377665 is an apocalyptic number.

It is an amenable number.

13765377665 is a deficient number, since it is larger than the sum of its proper divisors (4143128335).

13765377665 is a wasteful number, since it uses less digits than its factorization.

13765377665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421476.

The product of its digits is 16669800, while the sum is 56.

The spelling of 13765377665 in words is "thirteen billion, seven hundred sixty-five million, three hundred seventy-seven thousand, six hundred sixty-five".

Divisors: 1 5 13 65 149 745 1937 9685 1421309 7106545 18477017 92385085 211775041 1058875205 2753075533 13765377665