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12131844168 = 2334710755181
BaseRepresentation
bin10110100110001110…
…10100000001001000
31011022111012112112210
423103013110001020
5144321223003133
65323455305120
7606431655033
oct132307240110
934274175483
1012131844168
1151661230a4
122426b1b1a0
1311b4577822
1483133c01a
154b0115763
hex2d31d4048

12131844168 has 32 divisors (see below), whose sum is σ = 30974924160. Its totient is φ = 3957906240.

The previous prime is 12131844163. The next prime is 12131844209. The reversal of 12131844168 is 86144813121.

It is a super-2 number, since 2×121318441682 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12131844163) 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 7 ways as a sum of consecutive naturals, for example, 5376463 + ... + 5378718.

It is an arithmetic number, because the mean of its divisors is an integer number (967966380).

Almost surely, 212131844168 is an apocalyptic number.

It is an amenable number.

12131844168 is an abundant number, since it is smaller than the sum of its proper divisors (18843079992).

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

12131844168 is a wasteful number, since it uses less digits than its factorization.

12131844168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755237 (or 10755233 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The spelling of 12131844168 in words is "twelve billion, one hundred thirty-one million, eight hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 10755181 21510362 32265543 43020724 64531086 86041448 129062172 258124344 505493507 1010987014 1516480521 2021974028 3032961042 4043948056 6065922084 12131844168