Search a number
-
+
14688792909 = 337727106903
BaseRepresentation
bin11011010111000010…
…10011000101001101
31101220200112222211000
431223201103011031
5220040312333114
610425315450513
71030000452060
oct155341230515
941820488730
1014688792909
11625849357a
122a1b2b6a39
13150122614b
149d4b748d7
155ae83ee09
hex36b85314d

14688792909 has 32 divisors (see below), whose sum is σ = 24904355840. Its totient is φ = 8381972016.

The previous prime is 14688792857. The next prime is 14688792971. The reversal of 14688792909 is 90929788641.

14688792909 is a `hidden beast` number, since 1 + 468 + 87 + 9 + 2 + 90 + 9 = 666.

14688792909 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 14688792909 - 28 = 14688792653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688792709) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83952 + ... + 190854.

It is an arithmetic number, because the mean of its divisors is an integer number (778261120).

Almost surely, 214688792909 is an apocalyptic number.

It is an amenable number.

14688792909 is a deficient number, since it is larger than the sum of its proper divisors (10215562931).

14688792909 is a wasteful number, since it uses less digits than its factorization.

14688792909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107646 (or 107640 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 14688792909 in words is "fourteen billion, six hundred eighty-eight million, seven hundred ninety-two thousand, nine hundred nine".

Divisors: 1 3 7 9 21 27 63 189 727 2181 5089 6543 15267 19629 45801 106903 137403 320709 748321 962127 2244963 2886381 6734889 20204667 77718481 233155443 544029367 699466329 1632088101 2098398987 4896264303 14688792909