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12005005344 = 253731713043
BaseRepresentation
bin10110010111000110…
…11101100000100000
31010222122112110101120
423023203131200200
5144041240132334
65303124532240
7603331601403
oct131343354040
933878473346
1012005005344
115100570222
1223b0551080
1311941c7b77
1481c561d3a
154a3e0d949
hex2cb8dd820

12005005344 has 48 divisors (see below), whose sum is σ = 31944844512. Its totient is φ = 3946848768.

The previous prime is 12005005343. The next prime is 12005005349. The reversal of 12005005344 is 44350050021.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12005005343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849514 + ... + 863529.

It is an arithmetic number, because the mean of its divisors is an integer number (665517594).

Almost surely, 212005005344 is an apocalyptic number.

It is an amenable number.

12005005344 is an abundant number, since it is smaller than the sum of its proper divisors (19939839168).

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

12005005344 is a wasteful number, since it uses less digits than its factorization.

12005005344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713129 (or 1713121 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 12005005344 its reverse (44350050021), we get a palindrome (56355055365).

The spelling of 12005005344 in words is "twelve billion, five million, five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 1713043 3426086 5139129 6852172 10278258 13704344 20556516 27408688 41113032 54817376 82226064 125052139 164452128 250104278 375156417 500208556 750312834 1000417112 1500625668 2000834224 3001251336 4001668448 6002502672 12005005344