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10664416434416 = 244725495563517
BaseRepresentation
bin1001101100110000000011…
…0000001101100011110000
31101202111201111222020010212
42123030000300031203300
52344211211101400131
634403055411043252
72150323116014153
oct233140060154360
941674644866125
1010664416434416
113441832069178
121242a035a0528
135c485b50b3c4
1428c23661bc9a
151376150e6a2b
hex9b300c0d8f0

10664416434416 has 40 divisors (see below), whose sum is σ = 21110212699200. Its totient is φ = 5216708666624.

The previous prime is 10664416434409. The next prime is 10664416434473. The reversal of 10664416434416 is 61443461446601.

It is a happy number.

It is a super-2 number, since 2×106644164344162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864911 + ... + 4698606.

It is an arithmetic number, because the mean of its divisors is an integer number (527755317480).

Almost surely, 210664416434416 is an apocalyptic number.

10664416434416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10664416434416 is a deficient number, since it is larger than the sum of its proper divisors (10445796264784).

10664416434416 is a wasteful number, since it uses less digits than its factorization.

10664416434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566121 (or 5566115 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 10664416434416 in words is "ten trillion, six hundred sixty-four billion, four hundred sixteen million, four hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 47 94 188 376 752 2549 5098 10196 20392 40784 119803 239606 479212 958424 1916848 5563517 11127034 22254068 44508136 89016272 261485299 522970598 1045941196 2091882392 4183764784 14181404833 28362809666 56725619332 113451238664 226902477328 666526027151 1333052054302 2666104108604 5332208217208 10664416434416