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12281760973 = 731816771373
BaseRepresentation
bin10110111000000110…
…01100110011001101
31011200221022002202001
423130003030303031
5200123112322343
65350412432301
7613232150206
oct133403146315
934627262661
1012281760973
115232808889
122469178691
1312096478b1
148472045ad
154bd37a44d
hex2dc0ccccd

12281760973 has 16 divisors (see below), whose sum is σ = 12546411696. Its totient is φ = 12020037120.

The previous prime is 12281760917. The next prime is 12281761003. The reversal of 12281760973 is 37906718221.

12281760973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1747407204 + 10534353769 = 41802^2 + 102637^2 .

It is a cyclic number.

It is not a de Polignac number, because 12281760973 - 233 = 3691826381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281760373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8944515 + ... + 8945887.

It is an arithmetic number, because the mean of its divisors is an integer number (784150731).

Almost surely, 212281760973 is an apocalyptic number.

It is an amenable number.

12281760973 is a deficient number, since it is larger than the sum of its proper divisors (264650723).

12281760973 is a wasteful number, since it uses less digits than its factorization.

12281760973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 12281760973 in words is "twelve billion, two hundred eighty-one million, seven hundred sixty thousand, nine hundred seventy-three".

Divisors: 1 73 181 677 1373 13213 49421 100229 122537 248513 929521 8945201 18141449 67855033 168243301 12281760973