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12181004448 = 253391932377
BaseRepresentation
bin10110101100000101…
…10110000010100000
31011102220201010202220
423112002312002200
5144421314120243
65332413111040
7610566554334
oct132602660240
934386633686
1012181004448
11519094aa28
12243b488480
1311c17ca952
14837a977c4
154b45c6783
hex2d60b60a0

12181004448 has 48 divisors (see below), whose sum is σ = 31984283520. Its totient is φ = 4059173376.

The previous prime is 12181004419. The next prime is 12181004449. The reversal of 12181004448 is 84440018121.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12181004449) 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, 360036 + ... + 392412.

It is an arithmetic number, because the mean of its divisors is an integer number (666339240).

Almost surely, 212181004448 is an apocalyptic number.

It is an amenable number.

12181004448 is an abundant number, since it is smaller than the sum of its proper divisors (19803279072).

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

12181004448 is a wasteful number, since it uses less digits than its factorization.

12181004448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36309 (or 36301 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 12181004448 in words is "twelve billion, one hundred eighty-one million, four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3919 7838 11757 15676 23514 31352 32377 47028 62704 64754 94056 97131 125408 129508 188112 194262 259016 376224 388524 518032 777048 1036064 1554096 3108192 126885463 253770926 380656389 507541852 761312778 1015083704 1522625556 2030167408 3045251112 4060334816 6090502224 12181004448