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12162144264 = 2331964141609
BaseRepresentation
bin10110101001110101…
…11001100000001000
31011101121012221110120
423110322321200020
5144402002104024
65330500543240
7610250343354
oct132472714010
934347187416
1012162144264
115181238aa6
1224350b1b20
1311ba92628a
14835388464
154b2aed479
hex2d4eb9808

12162144264 has 64 divisors (see below), whose sum is σ = 32056344000. Its totient is φ = 3834593280.

The previous prime is 12162144187. The next prime is 12162144271. The reversal of 12162144264 is 46244126121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271492 + ... + 313100.

It is an arithmetic number, because the mean of its divisors is an integer number (500880375).

Almost surely, 212162144264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162144264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028172000).

12162144264 is an abundant number, since it is smaller than the sum of its proper divisors (19894199736).

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

12162144264 is a wasteful number, since it uses less digits than its factorization.

12162144264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42278 (or 42274 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The spelling of 12162144264 in words is "twelve billion, one hundred sixty-two million, one hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 641 1282 1923 2564 3846 5128 7692 12179 15384 24358 36537 41609 48716 73074 83218 97432 124827 146148 166436 249654 292296 332872 499308 790571 998616 1581142 2371713 3162284 4743426 6324568 9486852 18973704 26671369 53342738 80014107 106685476 160028214 213370952 320056428 506756011 640112856 1013512022 1520268033 2027024044 3040536066 4054048088 6081072132 12162144264