Search a number
-
+
12553191441 = 3274131715331
BaseRepresentation
bin10111011000011101…
…01000000000010001
31012101212001012100100
423230032220000101
5201202104111231
65433350243013
7623036236530
oct135416500021
935355035310
1012553191441
115361a4958a
122524056469
13125095183b
1487129c317
154d70e41e6
hex2ec3a8011

12553191441 has 48 divisors (see below), whose sum is σ = 21296515968. Its totient is φ = 6975763200.

The previous prime is 12553191407. The next prime is 12553191449. The reversal of 12553191441 is 14419135521.

12553191441 is a `hidden beast` number, since 1 + 25 + 5 + 3 + 191 + 441 = 666.

It is not a de Polignac number, because 12553191441 - 213 = 12553183249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12553191396 and 12553191405.

It is not an unprimeable number, because it can be changed into a prime (12553191449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811146 + ... + 826476.

It is an arithmetic number, because the mean of its divisors is an integer number (443677416).

Almost surely, 212553191441 is an apocalyptic number.

It is an amenable number.

12553191441 is a deficient number, since it is larger than the sum of its proper divisors (8743324527).

12553191441 is a wasteful number, since it uses less digits than its factorization.

12553191441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15699 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 12553191441 in words is "twelve billion, five hundred fifty-three million, one hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 41 63 123 287 317 369 861 951 2219 2583 2853 6657 12997 15331 19971 38991 45993 90979 107317 116973 137979 272937 321951 628571 818811 965853 1885713 4399997 4859927 5657139 13199991 14579781 34019489 39599973 43739343 102058467 199257007 306175401 597771021 1394799049 1793313063 4184397147 12553191441