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20310506540550 = 23252197151332191
BaseRepresentation
bin1001001111000111010001…
…00001110000111000000110
32122220122222010022002112100
410213203220201300320012
510130231404133244200
6111110303510532530
74164246200043642
oct447435041607006
978818863262470
1020310506540550
1165207014a27a6
12234038b667146
13b44370a34c35
145030688dbc22
152534c9b0dd00
hex1278e8870e06

20310506540550 has 144 divisors (see below), whose sum is σ = 57447743109120. Its totient is φ = 5130342360000.

The previous prime is 20310506540507. The next prime is 20310506540609. The reversal of 20310506540550 is 5504560501302.

20310506540550 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 0 + 5 + 0 + 65 + 40 + 550 = 666.

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 71 ways as a sum of consecutive naturals, for example, 60974955 + ... + 61307145.

It is an arithmetic number, because the mean of its divisors is an integer number (398942660480).

Almost surely, 220310506540550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310506540550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28723871554560).

20310506540550 is an abundant number, since it is smaller than the sum of its proper divisors (37137236568570).

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

20310506540550 is a wasteful number, since it uses less digits than its factorization.

20310506540550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339379 (or 339371 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 20310506540550 in words is "twenty trillion, three hundred ten billion, five hundred six million, five hundred forty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 7151 8550 14302 21453 35755 42906 64359 71510 107265 128718 135869 178775 214530 271738 321795 332191 357550 407607 536325 643590 664382 679345 815214 996573 1072650 1222821 1358690 1608975 1660955 1993146 2038035 2445642 2989719 3217950 3321910 3396725 4076070 4982865 5979438 6114105 6311629 6793450 8304775 9965730 10190175 12228210 12623258 14948595 16609550 18934887 20380350 24914325 29897190 30570525 31558145 37869774 49828650 56804661 61141050 63116290 74742975 94674435 113609322 149485950 157790725 189348870 284023305 315581450 473372175 568046610 946744350 1420116525 2375497841 2840233050 4750995682 7126493523 11877489205 14252987046 21379480569 23754978410 35632467615 42758961138 45134458979 59387446025 71264935230 90268917958 106897402845 118774892050 135403376937 178162338075 213794805690 225672294895 270806753874 356324676150 406210130811 451344589790 534487014225 677016884685 812420261622 1068974028450 1128361474475 1354033769370 2031050654055 2256722948950 3385084423425 4062101308110 6770168846850 10155253270275 20310506540550