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12230590463 = 7213374761181
BaseRepresentation
bin10110110001111111…
…11111111111111111
31011120101000100222222
423120333333333333
5200022012343323
65341343555555
7612041206100
oct133077777777
934511010888
1012230590463
115206938703
122453bbbbbb
1311cbb6c7a0
148404c43a7
154b8b1d9c8
hex2d8ffffff

12230590463 has 96 divisors (see below), whose sum is σ = 16424448768. Its totient is φ = 9013939200.

The previous prime is 12230590457. The next prime is 12230590481. The reversal of 12230590463 is 36409503221.

It is a Cunningham number, because it is equal to 486-1.

It is not a de Polignac number, because 12230590463 - 24 = 12230590447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230590433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67572233 + ... + 67572413.

It is an arithmetic number, because the mean of its divisors is an integer number (171088008).

Almost surely, 212230590463 is an apocalyptic number.

12230590463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12230590463 is a deficient number, since it is larger than the sum of its proper divisors (4193858305).

12230590463 is a wasteful number, since it uses less digits than its factorization.

12230590463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 12230590463 in words is "twelve billion, two hundred thirty million, five hundred ninety thousand, four hundred sixty-three".

Divisors: 1 7 13 37 47 49 61 91 181 259 329 427 481 611 637 793 1267 1739 1813 2257 2303 2353 2867 2989 3367 4277 5551 6697 8507 8869 11041 12173 15799 16471 20069 22607 23569 29341 29939 37271 38857 46879 59549 77287 85211 87061 106079 110591 110593 115297 140483 143533 158249 205387 260897 314759 328153 408517 416843 518927 541009 609427 742553 774137 1004731 1107743 1379027 1437709 1826279 2203313 2859619 3632489 4091867 4265989 5197871 5310721 5418959 6746051 7033117 9653189 15423191 19200299 20017333 25427423 28643069 37175047 47222357 67572323 134402093 200501483 249603887 260225329 330556499 940814651 1747227209 12230590463