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11484443007 = 3417231133209
BaseRepresentation
bin10101011001000011…
…01011000101111111
31002122101000011010000
422230201223011333
5142010004134012
65135331245343
7554411104062
oct125441530577
932571004100
1011484443007
11496373a014
122286149853
1311103c370b
147ad3768d9
15473382ddc
hex2ac86b17f

11484443007 has 80 divisors (see below), whose sum is σ = 19128415680. Its totient is φ = 6829498368.

The previous prime is 11484442891. The next prime is 11484443017. The reversal of 11484443007 is 70034448411.

It is a happy number.

It is not a de Polignac number, because 11484443007 - 214 = 11484426623 is a prime.

It is a super-3 number, since 3×114844430073 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11484443017) 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 79 ways as a sum of consecutive naturals, for example, 3577219 + ... + 3580427.

It is an arithmetic number, because the mean of its divisors is an integer number (239105196).

Almost surely, 211484443007 is an apocalyptic number.

11484443007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11484443007 is a deficient number, since it is larger than the sum of its proper divisors (7643972673).

11484443007 is a wasteful number, since it uses less digits than its factorization.

11484443007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 11484443007 in words is "eleven billion, four hundred eighty-four million, four hundred forty-three thousand, seven".

Divisors: 1 3 9 17 23 27 51 69 81 113 153 207 339 391 459 621 1017 1173 1377 1863 1921 2599 3051 3209 3519 5763 7797 9153 9627 10557 17289 23391 28881 31671 44183 51867 54553 70173 73807 86643 132549 155601 163659 210519 221421 259929 362617 397647 490977 664263 1087851 1192941 1254719 1472931 1992789 3263553 3578823 3764157 4418793 5978367 6164489 8340191 9790659 11292471 18493467 25020573 29371977 33877413 55480401 75061719 101632239 141783247 166441203 225185157 425349741 499323609 675555471 1276049223 3828147669 11484443007