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10668104780736 = 2631321411996301
BaseRepresentation
bin1001101100111101110010…
…0110001000101111000000
31101202212020120020122010010
42123033130212020233000
52344241234310440421
634404505405104520
72150513403313344
oct233173446105700
941685216218103
1010668104780736
113443355039377
121243672858140
135c4cc86b1850
1428c4a6407624
1513777dd0a076
hex9b3dc988bc0

10668104780736 has 112 divisors (see below), whose sum is σ = 30411473023008. Its totient is φ = 3280958976000.

The previous prime is 10668104780719. The next prime is 10668104780737. The reversal of 10668104780736 is 63708740186601.

It is a super-2 number, since 2×106681047807362 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668104780737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4345786 + ... + 6342086.

It is an arithmetic number, because the mean of its divisors is an integer number (271531009134).

Almost surely, 210668104780736 is an apocalyptic number.

10668104780736 is a gapful number since it is divisible by the number (16) 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 10668104780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205736511504).

10668104780736 is an abundant number, since it is smaller than the sum of its proper divisors (19743368242272).

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

10668104780736 is a wasteful number, since it uses less digits than its factorization.

10668104780736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998470 (or 1998460 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 10668104780736 in words is "ten trillion, six hundred sixty-eight billion, one hundred four million, seven hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2141 2496 4282 6423 8564 12846 17128 25692 27833 34256 51384 55666 68512 83499 102768 111332 137024 166998 205536 222664 333996 411072 445328 667992 890656 1335984 1781312 1996301 2671968 3992602 5343936 5988903 7985204 11977806 15970408 23955612 25951913 31940816 47911224 51903826 63881632 77855739 95822448 103807652 127763264 155711478 191644896 207615304 311422956 383289792 415230608 622845912 830461216 1245691824 1660922432 2491383648 4274080441 4982767296 8548160882 12822241323 17096321764 25644482646 34192643528 51288965292 55563045733 68385287056 102577930584 111126091466 136770574112 166689137199 205155861168 222252182932 273541148224 333378274398 410311722336 444504365864 666756548796 820623444672 889008731728 1333513097592 1778017463456 2667026195184 3556034926912 5334052390368 10668104780736