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6866814996 = 223229431511013
BaseRepresentation
bin1100110010100101…
…10100100000010100
3122201120010100022100
412121102310200110
5103030401034441
63053215402100
7332110651536
oct63122644024
918646110270
106866814996
112a04157818
1213b7823330
13855843852
14491dab856
152a2cabcb6
hex1994b4814

6866814996 has 144 divisors (see below), whose sum is σ = 18513855360. Its totient is φ = 2142201600.

The previous prime is 6866814989. The next prime is 6866815003. The reversal of 6866814996 is 6994186686.

6866814996 is a `hidden beast` number, since 6 + 8 + 66 + 81 + 499 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6866814989) and next prime (6866815003).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6778186 + ... + 6779198.

It is an arithmetic number, because the mean of its divisors is an integer number (128568440).

Almost surely, 26866814996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6866814996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256927680).

6866814996 is an abundant number, since it is smaller than the sum of its proper divisors (11647040364).

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

6866814996 is a wasteful number, since it uses less digits than its factorization.

6866814996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1241 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 6866814996 is about 82866.2476283318. The cubic root of 6866814996 is about 1900.7213323913.

The spelling of 6866814996 in words is "six billion, eight hundred sixty-six million, eight hundred fourteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 151 172 174 258 261 302 348 387 453 516 522 604 774 906 1013 1044 1247 1359 1548 1812 2026 2494 2718 3039 3741 4052 4379 4988 5436 6078 6493 7482 8758 9117 11223 12156 12986 13137 14964 17516 18234 19479 22446 25972 26274 29377 36468 38958 39411 43559 44892 52548 58437 58754 77916 78822 87118 88131 116874 117508 130677 152963 157644 174236 176262 188297 233748 261354 264393 305926 352524 376594 392031 458889 522708 528786 564891 611852 753188 784062 917778 1057572 1129782 1263211 1376667 1568124 1694673 1835556 2259564 2526422 2753334 3389346 3789633 4435927 5052844 5506668 6577409 6778692 7579266 8871854 11368899 13154818 13307781 15158532 17743708 19732227 22737798 26309636 26615562 39464454 39923343 45475596 53231124 59196681 78928908 79846686 118393362 159693372 190744861 236786724 381489722 572234583 762979444 1144469166 1716703749 2288938332 3433407498 6866814996