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5666763024 = 2433131576427
BaseRepresentation
bin1010100011100001…
…11111000100010000
3112121221000101111000
411101300333010100
543101142404044
62334150222000
7260266455666
oct52160770420
915557011430
105666763024
112448815a2a
121121954900
136c4031820
143ba866c36
15232760d69
hex151c3f110

5666763024 has 160 divisors (see below), whose sum is σ = 17631232640. Its totient is φ = 1732243968.

The previous prime is 5666763007. The next prime is 5666763073. The reversal of 5666763024 is 4203676665.

It is a super-2 number, since 2×56667630242 = 64224406340347249152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878499 + ... + 884925.

It is an arithmetic number, because the mean of its divisors is an integer number (110195204).

Almost surely, 25666763024 is an apocalyptic number.

5666763024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5666763024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815616320).

5666763024 is an abundant number, since it is smaller than the sum of its proper divisors (11964469616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5666763024 is a wasteful number, since it uses less digits than its factorization.

5666763024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5666763024 is about 75277.9052843529. The cubic root of 5666763024 is about 1782.8371855596.

The spelling of 5666763024 in words is "five billion, six hundred sixty-six million, seven hundred sixty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 157 208 216 234 312 314 351 432 468 471 624 628 702 936 942 1256 1404 1413 1872 1884 2041 2512 2808 2826 3768 4082 4239 5616 5652 6123 6427 7536 8164 8478 11304 12246 12854 16328 16956 18369 19281 22608 24492 25708 32656 33912 36738 38562 48984 51416 55107 57843 67824 73476 77124 83551 97968 102832 110214 115686 146952 154248 167102 173529 220428 231372 250653 293904 308496 334204 347058 440856 462744 501306 668408 694116 751959 881712 925488 1002612 1009039 1336816 1388232 1503918 2005224 2018078 2255877 2776464 3007836 3027117 4010448 4036156 4511754 6015672 6054234 8072312 9023508 9081351 12031344 12108468 13117507 16144624 18047016 18162702 24216936 26235014 27244053 36094032 36325404 39352521 48433872 52470028 54488106 72650808 78705042 104940056 108976212 118057563 145301616 157410084 209880112 217952424 236115126 314820168 354172689 435904848 472230252 629640336 708345378 944460504 1416690756 1888921008 2833381512 5666763024