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20453144416110 = 23257301910753663
BaseRepresentation
bin1001010011010000111100…
…11010000100111101101110
32200102022010210121221021100
410221220132122010331232
510140101014432303420
6111300013403343530
74210455662013360
oct451503632047556
980368123557240
1020453144416110
1165761478a088a
122363b58821ba6
13b54952c6b733
14509d1a5cad30
152570771e3190
hex129a1e684f6e

20453144416110 has 96 divisors (see below), whose sum is σ = 60795194204160. Its totient is φ = 4673455475904.

The previous prime is 20453144416069. The next prime is 20453144416157. The reversal of 20453144416110 is 1161444135402.

20453144416110 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 31 + 4 + 4 + 4 + 1 + 611 + 0 = 666.

It is a super-2 number, since 2×204531444161102 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3474862 + ... + 7278801.

It is an arithmetic number, because the mean of its divisors is an integer number (633283272960).

Almost surely, 220453144416110 is an apocalyptic number.

20453144416110 is an abundant number, since it is smaller than the sum of its proper divisors (40342049788050).

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

20453144416110 is a wasteful number, since it uses less digits than its factorization.

20453144416110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756702 (or 10756699 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20453144416110 in words is "twenty trillion, four hundred fifty-three billion, one hundred forty-four million, four hundred sixteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 3019 6038 9057 15095 18114 21133 27171 30190 42266 45285 54342 63399 90570 105665 126798 135855 190197 211330 271710 316995 380394 633990 950985 1901970 10753663 21507326 32260989 53768315 64521978 75275641 96782967 107536630 150551282 161304945 193565934 225826923 322609890 376378205 451653846 483914835 677480769 752756410 967829670 1129134615 1354961538 2258269230 3387403845 6774807690 32465308597 64930617194 97395925791 162326542985 194791851582 227257160179 292187777373 324653085970 454514320358 486979628955 584375554746 681771480537 973959257910 1136285800895 1363542961074 1460938886865 2045314441611 2272571601790 2921877773730 3408857402685 4090628883222 6817714805370 10226572208055 20453144416110