Search a number
-
+
11947347135 = 325265496603
BaseRepresentation
bin10110010000001111…
…00000110010111111
31010211122001010012100
423020013200302333
5143432010102020
65253305040143
7602031526563
oct131007406277
933748033170
1011947347135
115080a69809
122395186053
13118528aa99
14814a336a3
1549dd1ea90
hex2c81e0cbf

11947347135 has 12 divisors (see below), whose sum is σ = 20708735112. Its totient is φ = 6371918448.

The previous prime is 11947347127. The next prime is 11947347143. The reversal of 11947347135 is 53174374911.

11947347135 is a `hidden beast` number, since 1 + 1 + 9 + 473 + 47 + 135 = 666.

11947347135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11947347127) and next prime (11947347143).

It is not a de Polignac number, because 11947347135 - 23 = 11947347127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 265496603 = 11947347135 / (1 + 1 + 9 + 4 + 7 + 3 + 4 + 7 + 1 + 3 + 5).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 132748257 + ... + 132748346.

It is an arithmetic number, because the mean of its divisors is an integer number (1725727926).

Almost surely, 211947347135 is an apocalyptic number.

11947347135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11947347135 is a deficient number, since it is larger than the sum of its proper divisors (8761387977).

11947347135 is a wasteful number, since it uses less digits than its factorization.

11947347135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265496614 (or 265496611 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 11947347135 in words is "eleven billion, nine hundred forty-seven million, three hundred forty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 265496603 796489809 1327483015 2389469427 3982449045 11947347135