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12541443090 = 2351123454943
BaseRepresentation
bin10111010111000011…
…10011110000010010
31012101000221022122020
423223201303300102
5201141102134330
65432250352310
7622534336011
oct135341636022
935330838566
1012541443090
115356354900
12252012b696
13124b39a257
1486d8c0a78
154d6073210
hex2eb873c12

12541443090 has 48 divisors (see below), whose sum is σ = 33084543744. Its totient is φ = 3040348960.

The previous prime is 12541443067. The next prime is 12541443097. The reversal of 12541443090 is 9034414521.

12541443090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12541443097) 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 23 ways as a sum of consecutive naturals, for example, 1723842 + ... + 1731101.

It is an arithmetic number, because the mean of its divisors is an integer number (689261328).

Almost surely, 212541443090 is an apocalyptic number.

12541443090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12541443090 is an abundant number, since it is smaller than the sum of its proper divisors (20543100654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12541443090 is a wasteful number, since it uses less digits than its factorization.

12541443090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454975 (or 3454964 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12541443090 in words is "twelve billion, five hundred forty-one million, four hundred forty-three thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 3454943 6909886 10364829 17274715 20729658 34549430 38004373 51824145 76008746 103648290 114013119 190021865 228026238 380043730 418048103 570065595 836096206 1140131190 1254144309 2090240515 2508288618 4180481030 6270721545 12541443090