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11248329945609 = 32353231672
BaseRepresentation
bin1010001110101111010010…
…1101011111001000001001
31110211022220110020222111100
42203223310231133020021
52433243034431224414
635531224512052013
72240444046662001
oct243536455371011
943738813228440
1011248329945609
113647432013619
121318002b34009
136379364bc983
142ac5ca259001
151478dca87609
hexa3af4b5f209

11248329945609 has 27 divisors (see below), whose sum is σ = 16298891724583. Its totient is φ = 7475282212992.

The previous prime is 11248329945581. The next prime is 11248329945667. The reversal of 11248329945609 is 90654992384211.

The square root of 11248329945609 is 3353853.

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

11248329945609 is a `hidden beast` number, since 1 + 1 + 2 + 48 + 3 + 29 + 9 + 4 + 560 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4569868175625 + 6678461769984 = 2137725^2 + 2584272^2 .

It is not a de Polignac number, because 11248329945609 - 25 = 11248329945577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11248329947609) 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 26 ways as a sum of consecutive naturals, for example, 3551728744 + ... + 3551731910.

Almost surely, 211248329945609 is an apocalyptic number.

11248329945609 is the 3353853-rd square number.

11248329945609 is the 1676927-th centered octagonal number.

It is an amenable number.

11248329945609 is a deficient number, since it is larger than the sum of its proper divisors (5050561778974).

11248329945609 is an frugal number, since it uses more digits than its factorization.

11248329945609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 11248329945609 in words is "eleven trillion, two hundred forty-eight billion, three hundred twenty-nine million, nine hundred forty-five thousand, six hundred nine".

Divisors: 1 3 9 353 1059 3167 3177 9501 28503 124609 373827 1117951 1121481 3353853 10029889 10061559 30089667 90269001 394636703 1183910109 3540550817 3551730327 10621652451 31864957353 1249814438401 3749443315203 11248329945609