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12047006761 is a prime number
BaseRepresentation
bin10110011100000111…
…01011110000101001
31011002120120100111121
423032003223300221
5144133013204021
65311225055241
7604351603456
oct131603536051
934076510447
1012047006761
115122248539
122402627521
13119cb1268a
14823d7682d
154a7958741
hex2ce0ebc29

12047006761 has 2 divisors, whose sum is σ = 12047006762. Its totient is φ = 12047006760.

The previous prime is 12047006669. The next prime is 12047006789. The reversal of 12047006761 is 16760074021.

It is a happy number.

12047006761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8449286400 + 3597720361 = 91920^2 + 59981^2 .

It is a cyclic number.

It is not a de Polignac number, because 12047006761 - 211 = 12047004713 is a prime.

It is a super-2 number, since 2×120470067612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12047006561) 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 as a sum of consecutive naturals, namely, 6023503380 + 6023503381.

It is an arithmetic number, because the mean of its divisors is an integer number (6023503381).

Almost surely, 212047006761 is an apocalyptic number.

It is an amenable number.

12047006761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12047006761 is an equidigital number, since it uses as much as digits as its factorization.

12047006761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 12047006761 in words is "twelve billion, forty-seven million, six thousand, seven hundred sixty-one".