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12165215345 = 553100945497
BaseRepresentation
bin10110101010001101…
…00111010001110001
31011101210222222012022
423111012213101301
5144403243342340
65331050441225
7610315424063
oct132506472161
934353888168
1012165215345
115182a46388
122436133215
1311bb46009a
14835947733
154b30083b5
hex2d51a7471

12165215345 has 16 divisors (see below), whose sum is σ = 14888765520. Its totient is φ = 9538873344.

The previous prime is 12165215333. The next prime is 12165215399. The reversal of 12165215345 is 54351256121.

12165215345 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 675948001 + 11489267344 = 25999^2 + 107188^2 .

It is a cyclic number.

It is not a de Polignac number, because 12165215345 - 26 = 12165215281 is a prime.

It is an unprimeable number.

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, 244637 + ... + 290133.

It is an arithmetic number, because the mean of its divisors is an integer number (930547845).

Almost surely, 212165215345 is an apocalyptic number.

It is an amenable number.

12165215345 is a deficient number, since it is larger than the sum of its proper divisors (2723550175).

12165215345 is a wasteful number, since it uses less digits than its factorization.

12165215345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46564.

The product of its digits is 36000, while the sum is 35.

The spelling of 12165215345 in words is "twelve billion, one hundred sixty-five million, two hundred fifteen thousand, three hundred forty-five".

Divisors: 1 5 53 265 1009 5045 45497 53477 227485 267385 2411341 12056705 45906473 229532365 2433043069 12165215345