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10645426256512 = 27192574140129
BaseRepresentation
bin1001101011101001010011…
…0110011011101010000000
31101200200201001121020101111
42122322110312123222000
52343403313110202022
634350235153413104
72146051405120045
oct232722466335200
941620631536344
1010645426256512
113434777661473
12123b1a386a194
135c2b230cc548
1428b3544bd1cc
15136da2d4c477
hex9ae94d9ba80

10645426256512 has 96 divisors (see below), whose sum is σ = 22387082721300. Its totient is φ = 5041566351360.

The previous prime is 10645426256461. The next prime is 10645426256533. The reversal of 10645426256512 is 21565262454601.

It can be written as a sum of positive squares in 2 ways, for example, as 9415225843776 + 1230200412736 = 3068424^2 + 1109144^2 .

It is a super-2 number, since 2×106454262565122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265260064 + ... + 265300192.

Almost surely, 210645426256512 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 10645426256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193541360650).

10645426256512 is an abundant number, since it is smaller than the sum of its proper divisors (11741656464788).

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

10645426256512 is an equidigital number, since it uses as much as digits as its factorization.

10645426256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45922 (or 45891 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 10645426256512 in words is "ten trillion, six hundred forty-five billion, four hundred twenty-six million, two hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2432 2888 5741 5776 11482 11552 22964 23104 40129 45928 46208 80258 91856 109079 160516 183712 218158 321032 367424 436316 642064 734848 762451 872632 1284128 1524902 1745264 2072501 2568256 3049804 3490528 4145002 5136512 6099608 6981056 8290004 12199216 13962112 14486569 16580008 24398432 28973138 33160016 48796864 57946276 66320032 97593728 115892552 132640064 230380589 231785104 265280128 460761178 463570208 921522356 927140416 1843044712 1854280832 3686089424 4377231191 7372178848 8754462382 14744357696 17508924764 29488715392 35017849528 70035699056 83167392629 140071398112 166334785258 280142796224 332669570516 560285592448 665339141032 1330678282064 2661356564128 5322713128256 10645426256512