Search a number
-
+
20103888565944 = 2332617639599213
BaseRepresentation
bin1001001001000110011010…
…01000101111011010111000
32122011220122120010110120100
410210203031020233122320
510113340230433102234
6110431333210355400
74143313046200221
oct444431510573270
978156576113510
1020103888565944
116451013a962a7
12230832772bb60
13b2aa335c9b71
144d7067906248
1524ce35683399
hex1248cd22f6b8

20103888565944 has 96 divisors (see below), whose sum is σ = 55347959066400. Its totient is φ = 6590565008640.

The previous prime is 20103888565913. The next prime is 20103888565961. The reversal of 20103888565944 is 44956588830102.

20103888565944 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 38 + 8 + 8 + 5 + 6 + 594 + 4 = 666.

It is a super-2 number, since 2×201038885659442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33250882 + ... + 33850094.

It is an arithmetic number, because the mean of its divisors is an integer number (576541240275).

Almost surely, 220103888565944 is an apocalyptic number.

20103888565944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103888565944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673979533200).

20103888565944 is an abundant number, since it is smaller than the sum of its proper divisors (35244070500456).

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

20103888565944 is a wasteful number, since it uses less digits than its factorization.

20103888565944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606925 (or 606918 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 20103888565944 in words is "twenty trillion, one hundred three billion, eight hundred eighty-eight million, five hundred sixty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 7639 15278 22917 30556 45834 61112 68751 91668 137502 183336 275004 465979 550008 599213 931958 1198426 1397937 1797639 1863916 2396852 2795874 3595278 3727832 4193811 4793704 5392917 5591748 7190556 8387622 10785834 11183496 14381112 16775244 21571668 33550488 36551993 43143336 73103986 109655979 146207972 219311958 292415944 328967937 438623916 657935874 877247832 1315871748 2631743496 4577388107 9154776214 13732164321 18309552428 27464328642 36619104856 41196492963 54928657284 82392985926 109857314568 164785971852 279220674527 329571943704 558441349054 837662023581 1116882698108 1675324047162 2233765396216 2512986070743 3350648094324 5025972141486 6701296188648 10051944282972 20103888565944