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12003011296 = 2517101218459
BaseRepresentation
bin10110010110110111…
…10110101011100000
31010222111210011001221
423023123312223200
5144040232330141
65303014104424
7603305625013
oct131333665340
933874704057
1012003011296
1150aa429051
1223ab94b114
13119397a363
1481c1a337a
154a3b67bd1
hex2cb6f6ae0

12003011296 has 48 divisors (see below), whose sum is σ = 25268831280. Its totient is φ = 5592524800.

The previous prime is 12003011269. The next prime is 12003011299. The reversal of 12003011296 is 69211030021.

It is a self number, because there is not a number n which added to its sum of digits gives 12003011296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003011299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54286 + ... + 164173.

It is an arithmetic number, because the mean of its divisors is an integer number (526433985).

Almost surely, 212003011296 is an apocalyptic number.

12003011296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12003011296 is an abundant number, since it is smaller than the sum of its proper divisors (13265819984).

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

12003011296 is a wasteful number, since it uses less digits than its factorization.

12003011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218587 (or 218579 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 12003011296 in words is "twelve billion, three million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 3232 3434 6868 13736 27472 54944 218459 436918 873836 1747672 3495344 3713803 6990688 7427606 14855212 22064359 29710424 44128718 59420848 88257436 118841696 176514872 353029744 375094103 706059488 750188206 1500376412 3000752824 6001505648 12003011296