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12444349518 = 233475878353
BaseRepresentation
bin10111001011011110…
…11011010001001110
31012010021020110022000
423211233123101032
5200441223141033
65414501333130
7620245140246
oct134557332116
935107213260
1012444349518
115306568a87
1224b37071a6
131234233633
14860a48b26
154cc794a13
hex2e5bdb44e

12444349518 has 64 divisors (see below), whose sum is σ = 28293995520. Its totient is φ = 4052457216.

The previous prime is 12444349517. The next prime is 12444349543. The reversal of 12444349518 is 81594344421.

12444349518 is a `hidden beast` number, since 12 + 44 + 43 + 49 + 518 = 666.

12444349518 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124443495182 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444349513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485630 + ... + 1493982.

It is an arithmetic number, because the mean of its divisors is an integer number (442093680).

Almost surely, 212444349518 is an apocalyptic number.

12444349518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444349518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146997760).

12444349518 is an abundant number, since it is smaller than the sum of its proper divisors (15849646002).

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

12444349518 is a wasteful number, since it uses less digits than its factorization.

12444349518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8992 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 12444349518 in words is "twelve billion, four hundred forty-four million, three hundred forty-nine thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 587 846 1174 1269 1761 2538 3522 5283 8353 10566 15849 16706 25059 27589 31698 50118 55178 75177 82767 150354 165534 225531 248301 392591 451062 496602 744903 785182 1177773 1489806 2355546 3533319 4903211 7066638 9806422 10599957 14709633 21199914 29419266 44128899 88257798 132386697 230450917 264773394 460901834 691352751 1382705502 2074058253 4148116506 6222174759 12444349518