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13268316465 = 325821359137
BaseRepresentation
bin11000101101101101…
…00111000100110001
31021020200200022110100
430112312213010301
5204133142111330
610032334023013
7646541554245
oct142666470461
937220608410
1013268316465
1156996895a8
1226a3647a69
131335b58441
148dc252425
15529ca3060
hex316da7131

13268316465 has 24 divisors (see below), whose sum is σ = 23026492008. Its totient is φ = 7067796480.

The previous prime is 13268316449. The next prime is 13268316497. The reversal of 13268316465 is 56461386231.

13268316465 is a `hidden beast` number, since 1 + 326 + 8 + 316 + 4 + 6 + 5 = 666.

13268316465 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 4 ways, for example, as 677456784 + 12590859681 = 26028^2 + 112209^2 .

It is not a de Polignac number, because 13268316465 - 24 = 13268316449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13268316465.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142624 + ... + 216513.

It is an arithmetic number, because the mean of its divisors is an integer number (959437167).

Almost surely, 213268316465 is an apocalyptic number.

13268316465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13268316465 is a deficient number, since it is larger than the sum of its proper divisors (9758175543).

13268316465 is a wasteful number, since it uses less digits than its factorization.

13268316465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359969 (or 359966 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13268316465 in words is "thirteen billion, two hundred sixty-eight million, three hundred sixteen thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 821 2463 4105 7389 12315 36945 359137 1077411 1795685 3232233 5387055 16161165 294851477 884554431 1474257385 2653663293 4422772155 13268316465