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13466209936 = 246724332
BaseRepresentation
bin11001000101010011…
…00000111010010000
31021202111001100021011
430202221200322100
5210034322204221
610104123340304
7654463616164
oct144251407220
937674040234
1013466209936
115790362923
122739981694
131367b5597a
1491a646ca4
1553c3431e1
hex322a60e90

13466209936 has 45 divisors (see below), whose sum is σ = 26547318441. Its totient is φ = 6617293056.

The previous prime is 13466209921. The next prime is 13466209937. The reversal of 13466209936 is 63990266431.

The square root of 13466209936 is 116044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1510099600 + 11956110336 = 38860^2 + 109344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13466209936.

It is not an unprimeable number, because it can be changed into a prime (13466209937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31099576 + ... + 31100008.

Almost surely, 213466209936 is an apocalyptic number.

13466209936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13466209936 is the 116044-th square number.

It is an amenable number.

13466209936 is a deficient number, since it is larger than the sum of its proper divisors (13081108505).

13466209936 is an frugal number, since it uses more digits than its factorization.

13466209936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

Multiplying 13466209936 by its sum of digits (49), we get a square (659844286864 = 8123082).

The spelling of 13466209936 in words is "thirteen billion, four hundred sixty-six million, two hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 67 134 268 433 536 866 1072 1732 3464 4489 6928 8978 17956 29011 35912 58022 71824 116044 187489 232088 374978 464176 749956 1499912 1943737 2999824 3887474 7774948 12561763 15549896 25123526 31099792 50247052 100494104 200988208 841638121 1683276242 3366552484 6733104968 13466209936