Search a number
-
+
254233652013 = 321119420132173
BaseRepresentation
bin1110110011000110000…
…0011010101100101101
3220022012222110122212200
43230301200122230231
513131132303331023
6312443205252113
724240101246355
oct3546140325455
9808188418780
10254233652013
11989022a5710
1241332404039
131ac8821ac23
14c43abc7b65
15692e844743
hex3b3181ab2d

254233652013 has 48 divisors (see below), whose sum is σ = 421808861760. Its totient is φ = 145932192000.

The previous prime is 254233652009. The next prime is 254233652093. The reversal of 254233652013 is 310256332452.

254233652013 is a `hidden beast` number, since 2 + 542 + 33 + 65 + 20 + 1 + 3 = 666.

254233652013 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 254233652013 - 22 = 254233652009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254233652093) 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 47 ways as a sum of consecutive naturals, for example, 7885995 + ... + 7918167.

It is an arithmetic number, because the mean of its divisors is an integer number (8787684620).

Almost surely, 2254233652013 is an apocalyptic number.

It is an amenable number.

254233652013 is a deficient number, since it is larger than the sum of its proper divisors (167575209747).

254233652013 is a wasteful number, since it uses less digits than its factorization.

254233652013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36410 (or 36407 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 254233652013 its reverse (310256332452), we get a palindrome (564489984465).

The spelling of 254233652013 in words is "two hundred fifty-four billion, two hundred thirty-three million, six hundred fifty-two thousand, thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 4201 12603 32173 37809 46211 79819 96519 138633 239457 289557 353903 415899 611287 718371 878009 1061709 1833861 2634027 3185127 5501583 6724157 7902081 20172471 60517413 135158773 405476319 1216428957 1486746503 2568016687 4460239509 7704050061 13380718527 23112150183 28248183557 84744550671 254233652013