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12406644504521 = 179735069214541
BaseRepresentation
bin1011010010001010010110…
…1000110111011111001001
31121221001201101110021110022
42310202211220313133021
53111232301443121041
642215311145030225
72420231134166561
oct264424550673711
947831641407408
1012406644504521
113a536a0422853
1214845a8185375
136bcc317a54b7
1430c6b03ddda1
15167ad2d1124b
hexb48a5a377c9

12406644504521 has 16 divisors (see below), whose sum is σ = 13272314726160. Its totient is φ = 11556078673920.

The previous prime is 12406644504491. The next prime is 12406644504563. The reversal of 12406644504521 is 12540544660421.

It can be written as a sum of positive squares in 8 ways, for example, as 3736446474121 + 8670198030400 = 1932989^2 + 2944520^2 .

It is a de Polignac number, because none of the positive numbers 2k-12406644504521 is a prime.

It is a super-2 number, since 2×124066445045212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12406644504571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57721511 + ... + 57936051.

It is an arithmetic number, because the mean of its divisors is an integer number (829519670385).

Almost surely, 212406644504521 is an apocalyptic number.

It is an amenable number.

12406644504521 is a deficient number, since it is larger than the sum of its proper divisors (865670221639).

12406644504521 is a wasteful number, since it uses less digits than its factorization.

12406644504521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249724.

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 12406644504521 in words is "twelve trillion, four hundred six billion, six hundred forty-four million, five hundred four thousand, five hundred twenty-one".

Divisors: 1 17 97 1649 35069 214541 596173 3401693 3647197 20810477 57828781 353778109 7523738329 127903551593 729802617913 12406644504521