Search a number
-
+
12418132509 = 321379792501
BaseRepresentation
bin10111001000010110…
…11010101000011101
31012001102220111022200
423210023122220131
5200413020220014
65412123402113
7616506245646
oct134413325035
935042814280
1012418132509
1152a2791832
1224a6983339
13122b984503
1485b3826cd
154ca316a09
hex2e42daa1d

12418132509 has 6 divisors (see below), whose sum is σ = 17937302526. Its totient is φ = 8278755000.

The previous prime is 12418132481. The next prime is 12418132547. The reversal of 12418132509 is 90523181421.

12418132509 is a `hidden beast` number, since 1 + 2 + 4 + 18 + 132 + 509 = 666.

12418132509 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 only one way, i.e., 8676363609 + 3741768900 = 93147^2 + 61170^2 .

It is not a de Polignac number, because 12418132509 - 212 = 12418128413 is a prime.

It is a super-2 number, since 2×124181325092 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418132109) 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 5 ways as a sum of consecutive naturals, for example, 689896242 + ... + 689896259.

It is an arithmetic number, because the mean of its divisors is an integer number (2989550421).

Almost surely, 212418132509 is an apocalyptic number.

It is an amenable number.

12418132509 is a deficient number, since it is larger than the sum of its proper divisors (5519170017).

12418132509 is a wasteful number, since it uses less digits than its factorization.

12418132509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379792507 (or 1379792504 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12418132509 in words is "twelve billion, four hundred eighteen million, one hundred thirty-two thousand, five hundred nine".

Divisors: 1 3 9 1379792501 4139377503 12418132509