Search a number
-
+
12426327823 = 731324632
BaseRepresentation
bin10111001001010101…
…01011011100001111
31012002000022212011211
423210222223130033
5200422114442243
65413015155251
7616636021000
oct134452533417
935060285154
1012426327823
1152a737a018
1224a9675b27
131230593800
1485c4b71a7
154cadd4d9d
hex2e4aab70f

12426327823 has 36 divisors (see below), whose sum is σ = 15725775600. Its totient is φ = 9810584784.

The previous prime is 12426327811. The next prime is 12426327853. The reversal of 12426327823 is 32872362421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 12426327823 - 225 = 12392773391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426327853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26838490 + ... + 26838952.

It is an arithmetic number, because the mean of its divisors is an integer number (436827100).

Almost surely, 212426327823 is an apocalyptic number.

12426327823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12426327823 is a deficient number, since it is larger than the sum of its proper divisors (3299447777).

12426327823 is an frugal number, since it uses more digits than its factorization.

12426327823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 483 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The spelling of 12426327823 in words is "twelve billion, four hundred twenty-six million, three hundred twenty-seven thousand, eight hundred twenty-three".

Divisors: 1 7 13 49 91 169 343 463 637 1183 3241 4459 6019 8281 22687 42133 57967 78247 158809 214369 294931 547729 1500583 2064517 2786797 3834103 10504081 19507579 26838721 36228361 73528567 136553053 253598527 955871371 1775189689 12426327823