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11384249809 = 23246392
BaseRepresentation
bin10101001101000110…
…11101110111010001
31002101101110210212211
422212203131313101
5141303331443214
65121351552121
7552053345452
oct124643356721
932341423784
1011384249809
114912126419
12225868b641
1310c5712cba
1479dd35129
154696910c4
hex2a68dddd1

11384249809 has 9 divisors (see below), whose sum is σ = 11903303433. Its totient is φ = 10886935092.

The previous prime is 11384249803. The next prime is 11384249857. The reversal of 11384249809 is 90894248311.

The square root of 11384249809 is 106697.

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

It is not a de Polignac number, because 11384249809 - 215 = 11384217041 is a prime.

It is a super-2 number, since 2×113842498092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11384249803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2451712 + ... + 2456350.

Almost surely, 211384249809 is an apocalyptic number.

11384249809 is the 106697-th square number.

11384249809 is the 53349-th centered octagonal number.

It is an amenable number.

11384249809 is a deficient number, since it is larger than the sum of its proper divisors (519053624).

11384249809 is an frugal number, since it uses more digits than its factorization.

11384249809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 11384249809 by its sum of digits (49), we get a square (557828240641 = 7468792).

The spelling of 11384249809 in words is "eleven billion, three hundred eighty-four million, two hundred forty-nine thousand, eight hundred nine".

Divisors: 1 23 529 4639 106697 2454031 21520321 494967383 11384249809