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136643665616224 = 2513271089355427
BaseRepresentation
bin11111000100011011010101…
…001001100101110101100000
3122220211000011222222000210121
4133010123111021211311200
5120402232211344204344
61202341122225010024
740532115262531354
oct3704332511456540
9586730158860717
10136643665616224
113a5a2286a46a08
12133aa55b183914
135b32599b9a200
1425a583558d464
1510be636aa9684
hex7c46d5265d60

136643665616224 has 72 divisors (see below), whose sum is σ = 291307583899080. Its totient is φ = 63065242626048.

The previous prime is 136643665616167. The next prime is 136643665616243. The reversal of 136643665616224 is 422616566346631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384271599 + ... + 384627025.

It is an arithmetic number, because the mean of its divisors is an integer number (4045938665265).

Almost surely, 2136643665616224 is an apocalyptic number.

It is an amenable number.

136643665616224 is an abundant number, since it is smaller than the sum of its proper divisors (154663918282856).

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

136643665616224 is a wasteful number, since it uses less digits than its factorization.

136643665616224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426552 (or 426531 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 61.

The spelling of 136643665616224 in words is "one hundred thirty-six trillion, six hundred forty-three billion, six hundred sixty-five million, six hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 71089 142178 284356 355427 568712 710854 924157 1137424 1421708 1848314 2274848 2843416 3696628 4620551 5686832 7393256 9241102 11373664 12014041 14786512 18482204 24028082 29573024 36964408 48056164 60067163 73928816 96112328 120134326 147857632 192224656 240268652 384449312 480537304 961074608 1922149216 25266950003 50533900006 101067800012 202135600024 328470350039 404271200048 656940700078 808542400096 1313881400156 2627762800312 4270114550507 5255525600624 8540229101014 10511051201248 17080458202028 34160916404056 68321832808112 136643665616224