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10681092668928 = 29311748184503
BaseRepresentation
bin1001101101101110001010…
…1110111111111000000000
31101211002202201020201022010
42123123202232333320000
52344444334210401203
634414454244412520
72151453301454523
oct233334256777000
941732681221263
1010681092668928
11344890a3a0a70
1212460983a7140
135c62b84026a6
1428cd792dcbba
15137c8e168303
hex9b6e2bbfe00

10681092668928 has 160 divisors (see below), whose sum is σ = 31046442400512. Its totient is φ = 3236223795200.

The previous prime is 10681092668891. The next prime is 10681092668933. The reversal of 10681092668928 is 82986629018601.

It is a super-2 number, since 2×106810926689282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126356725 + ... + 126441227.

Almost surely, 210681092668928 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 10681092668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523221200256).

10681092668928 is an abundant number, since it is smaller than the sum of its proper divisors (20365349731584).

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

10681092668928 is an equidigital number, since it uses as much as digits as its factorization.

10681092668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92016 (or 92000 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 10681092668928 in words is "ten trillion, six hundred eighty-one billion, ninety-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 7481 8448 14962 16896 22443 29924 44886 59848 82291 84503 89772 119696 164582 169006 179544 239392 246873 253509 329164 338012 359088 478784 493746 507018 658328 676024 718176 929533 957568 987492 1014036 1316656 1352048 1436352 1859066 1915136 1974984 2028072 2633312 2704096 2788599 2872704 3718132 3830272 3949968 4056144 5266624 5408192 5577198 5745408 7436264 7899936 8112288 10533248 10816384 11154396 11490816 14872528 15799872 16224576 21066496 21632768 22308792 29745056 31599744 32449152 42132992 43265536 44617584 59490112 63199488 64898304 89235168 118980224 126398976 129796608 178470336 237960448 356940672 475920896 632166943 713881344 1264333886 1427762688 1896500829 2528667772 3793001658 5057335544 6953836373 7586003316 10114671088 13907672746 15172006632 20229342176 20861509119 27815345492 30344013264 40458684352 41723018238 55630690984 60688026528 80917368704 83446036476 111261381968 121376053056 161834737408 166892072952 222522763936 242752106112 323669474816 333784145904 445045527872 485504212224 667568291808 890091055744 971008424448 1335136583616 1780182111488 2670273167232 3560364222976 5340546334464 10681092668928