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12073647618 = 234892972
BaseRepresentation
bin10110011111010010…
…10011111000000010
31011011102200211220000
423033221103320002
5144211323210433
65314020100430
7605124211554
oct131751237002
934142624800
1012073647618
11513629417a
12240b534716
1311a54ac6b6
1482770d4d4
154a9e6c113
hex2cfa53e02

12073647618 has 90 divisors (see below), whose sum is σ = 27646289451. Its totient is φ = 3938305536.

The previous prime is 12073647617. The next prime is 12073647631. The reversal of 12073647618 is 81674637021.

12073647618 is a `hidden beast` number, since 1 + 20 + 7 + 3 + 6 + 4 + 7 + 618 = 666.

12073647618 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1853044209 + 10220603409 = 43047^2 + 101097^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77697.

It is not an unprimeable number, because it can be changed into a prime (12073647611) 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 44 ways as a sum of consecutive naturals, for example, 124470546 + ... + 124470642.

Almost surely, 212073647618 is an apocalyptic number.

12073647618 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 12073647618

12073647618 is an abundant number, since it is smaller than the sum of its proper divisors (15572641833).

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

12073647618 is an frugal number, since it uses more digits than its factorization.

12073647618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12073647618 in words is "twelve billion, seventy-three million, six hundred forty-seven thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 97 162 178 194 267 291 534 582 801 873 1602 1746 2403 2619 4806 5238 7209 7857 7921 8633 9409 14418 15714 15842 17266 18818 23763 25899 28227 47526 51798 56454 71289 77697 84681 142578 155394 169362 213867 233091 254043 427734 466182 508086 641601 699273 762129 768337 837401 1283202 1398546 1524258 1536674 1674802 2305011 2512203 4610022 5024406 6915033 7536609 13830066 15073218 20745099 22609827 41490198 45219654 62235297 67829481 74528689 124470594 135658962 149057378 223586067 447172134 670758201 1341516402 2012274603 4024549206 6036823809 12073647618