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64343355334346 = 2112412412111653
BaseRepresentation
bin11101010000101000110101…
…10101101001111011001010
322102211011110001201102120102
432220110122311221323022
531413200142431144341
6344502532424525402
716360440220222664
oct1650243265517312
9272734401642512
1064343355334346
1119557955727400
12727220b620862
1329b97247427ca
1411c6340c47534
15768ab9586c9b
hex3a851ad69eca

64343355334346 has 72 divisors (see below), whose sum is σ = 109128033023436. Its totient is φ = 28414987392000.

The previous prime is 64343355334289. The next prime is 64343355334417.

64343355334346 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 27849251463121 + 36494103871225 = 5277239^2 + 6041035^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64343355334291 and 64343355334300.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576223856 + ... + 576335508.

Almost surely, 264343355334346 is an apocalyptic number.

64343355334346 is a deficient number, since it is larger than the sum of its proper divisors (44784677689090).

64343355334346 is a wasteful number, since it uses less digits than its factorization.

64343355334346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112200 (or 111948 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 56.

The spelling of 64343355334346 in words is "sixty-four trillion, three hundred forty-three billion, three hundred fifty-five million, three hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 11 22 41 82 121 241 242 451 482 902 2651 4961 5302 9881 9922 19762 29161 58081 58322 108691 111653 116162 217382 223306 638891 1195601 1228183 1277782 2381321 2391202 2456366 4577773 4762642 7027801 9155546 13510013 14055602 26194531 26908373 27020026 50355503 52389062 53816746 100711006 288139841 295992103 553910533 576279682 591984206 1103243293 1107821066 2206486586 3255913133 6484917893 6511826266 12135676223 12969835786 24271352446 71334096823 133492438453 142668193646 265881633613 266984876906 531763267226 784675065053 1569350130106 2924697969743 5849395939486 32171677667173 64343355334346