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20344641496650 = 23252172659430261
BaseRepresentation
bin1001010000000110110110…
…01000010010011001001010
32200000221002001020112022200
410220003123020102121022
510131311311210343100
6111134111013301030
74166565116301252
oct450033310223112
980027061215280
1020344641496650
116534128817519
122346b17334776
13b47650981003
1450498618a962
15254326769e00
hex1280db21264a

20344641496650 has 72 divisors (see below), whose sum is σ = 57874521361644. Its totient is φ = 5106106099200.

The previous prime is 20344641496573. The next prime is 20344641496681. The reversal of 20344641496650 is 5669414644302.

20344641496650 is a `hidden beast` number, since 2 + 0 + 3 + 44 + 64 + 1 + 496 + 6 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10276211156409 + 10068430340241 = 3205653^2 + 3173079^2 .

It is a super-2 number, since 2×203446414966502 (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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1329707481 + ... + 1329722780.

Almost surely, 220344641496650 is an apocalyptic number.

20344641496650 is an abundant number, since it is smaller than the sum of its proper divisors (37529879864994).

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

20344641496650 is a wasteful number, since it uses less digits than its factorization.

20344641496650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659430296 (or 2659430288 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 20344641496650 in words is "twenty trillion, three hundred forty-four billion, six hundred forty-one million, four hundred ninety-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 2659430261 5318860522 7978290783 13297151305 15956581566 23934872349 26594302610 39891453915 45210314437 47869744698 66485756525 79782907830 90420628874 119674361745 132971513050 135630943311 199457269575 226051572185 239348723490 271261886622 398914539150 406892829933 452103144370 598371808725 678154716555 813785659866 1130257860925 1196743617450 1356309433110 2034464149665 2260515721850 3390773582775 4068928299330 6781547165550 10172320748325 20344641496650