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20346652356660 = 22325737397431803
BaseRepresentation
bin1001010000001010100101…
…11111000111000000110100
32200001010021012000210200100
410220011102333013000310
510131324421000403120
6111135042325114100
74166666004314010
oct450052277070064
980033235023610
1020346652356660
116534a6a9013a3
122347398858930
13b478b145b4c6
14504ad7271540
152543e3075490
hex128152fc7034

20346652356660 has 144 divisors (see below), whose sum is σ = 70537110973056. Its totient is φ = 4650528266496.

The previous prime is 20346652356649. The next prime is 20346652356671. The reversal of 20346652356660 is 6665325664302.

It is an interprime number because it is at equal distance from previous prime (20346652356649) and next prime (20346652356671).

It is a junction number, because it is equal to n+sod(n) for n = 20346652356597 and 20346652356606.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 46904319 + ... + 47336121.

It is an arithmetic number, because the mean of its divisors is an integer number (489841048424).

Almost surely, 220346652356660 is an apocalyptic number.

20346652356660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20346652356660 is an abundant number, since it is smaller than the sum of its proper divisors (50190458616396).

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

20346652356660 is a wasteful number, since it uses less digits than its factorization.

20346652356660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469222 (or 469217 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 20346652356660 in words is "twenty trillion, three hundred forty-six billion, six hundred fifty-two million, three hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 37397 74794 112191 149588 186985 224382 261779 336573 373970 431803 448764 523558 560955 673146 747940 785337 863606 1047116 1121910 1295409 1308895 1346292 1570674 1682865 1727212 2159015 2243820 2356011 2590818 2617790 3022621 3141348 3365730 3886227 3926685 4318030 4712022 5181636 5235580 6045242 6477045 6731460 7772454 7853370 8636060 9067863 9424044 11780055 12090484 12954090 15113105 15544908 15706740 18135726 19431135 23560110 25908180 27203589 30226210 36271452 38862270 45339315 47120220 54407178 60452420 77724540 90678630 108814356 136017945 181357260 272035890 544071780 16148136791 32296273582 48444410373 64592547164 80740683955 96888820746 113036957537 145333231119 161481367910 193777641492 226073915074 242222051865 290666462238 322962735820 339110872611 452147830148 484444103730 565184787685 581332924476 678221745222 726666155595 968888207460 1017332617833 1130369575370 1356443490444 1453332311190 1695554363055 2034665235666 2260739150740 2906664622380 3391108726110 4069330471332 5086663089165 6782217452220 10173326178330 20346652356660