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10643279859216 = 24322718672
BaseRepresentation
bin1001101011100001010011…
…1010100100111000010000
31101200111011110202221211100
42122320110322210320100
52343334414120443331
634345242200544400
72145644253052014
oct232702472447020
941614143687740
1010643279859216
113433876013404
12123a8a4a82100
135c2870518084
1428b1cd3d6544
15136cc96bcae6
hex9ae14ea4e10

10643279859216 has 45 divisors (see below), whose sum is σ = 29786510835471. Its totient is φ = 3547746903456.

The previous prime is 10643279859139. The next prime is 10643279859241. The reversal of 10643279859216 is 61295897234601.

The square root of 10643279859216 is 3262404.

It is a perfect power (a square), and thus also a powerful number.

10643279859216 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 3 + 27 + 9 + 8 + 592 + 16 = 666.

It is a super-2 number, since 2×106432798592162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39012915 + ... + 39284781.

It is a 1-persistent number, because it is pandigital, but 2⋅10643279859216 = 21286559718432 is not.

Almost surely, 210643279859216 is an apocalyptic number.

10643279859216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10643279859216 is the 3262404-th square number.

It is an amenable number.

10643279859216 is an abundant number, since it is smaller than the sum of its proper divisors (19143230976255).

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

10643279859216 is an frugal number, since it uses more digits than its factorization.

10643279859216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543748 (or 271872 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10643279859216 in words is "ten trillion, six hundred forty-three billion, two hundred seventy-nine million, eight hundred fifty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271867 543734 815601 1087468 1631202 2174936 2446803 3262404 4349872 4893606 6524808 9787212 13049616 19574424 39148848 73911665689 147823331378 221734997067 295646662756 443469994134 591293325512 665204991201 886939988268 1182586651024 1330409982402 1773879976536 2660819964804 3547759953072 5321639929608 10643279859216