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13782133265 = 5191011436387
BaseRepresentation
bin11001101010111101…
…01010101000010001
31022120111111220121012
430311132222220101
5211211211231030
610155330540305
7665351125355
oct146536525021
938514456535
1013782133265
11593272278a
122807737695
1313b843a454
1494a5a3465
15559e4a095
hex3357aaa11

13782133265 has 16 divisors (see below), whose sum is σ = 17581389120. Its totient is φ = 10341979200.

The previous prime is 13782133229. The next prime is 13782133307. The reversal of 13782133265 is 56233128731.

13782133265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13782133265 - 224 = 13765356049 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 708599 + ... + 727788.

It is an arithmetic number, because the mean of its divisors is an integer number (1098836820).

Almost surely, 213782133265 is an apocalyptic number.

It is an amenable number.

13782133265 is a deficient number, since it is larger than the sum of its proper divisors (3799255855).

13782133265 is a wasteful number, since it uses less digits than its factorization.

13782133265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436512.

The product of its digits is 181440, while the sum is 41.

The spelling of 13782133265 in words is "thirteen billion, seven hundred eighty-two million, one hundred thirty-three thousand, two hundred sixty-five".

Divisors: 1 5 19 95 101 505 1919 9595 1436387 7181935 27291353 136456765 145075087 725375435 2756426653 13782133265