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20003561253540 = 2234529425788873
BaseRepresentation
bin1001000110001011100010…
…01010011010101010100100
32121211022200120120221010000
410203011301022122222210
510110214243140103130
6110313301552101300
74133131616126154
oct443056112325244
977738616527100
1020003561253540
11641250a921587
1222b09a8234830
13b21435048a57
144d226b202764
1524a512842260
hex12317129aaa4

20003561253540 has 120 divisors (see below), whose sum is σ = 64915771730040. Its totient is φ = 5150342195712.

The previous prime is 20003561253509. The next prime is 20003561253541. The reversal of 20003561253540 is 4535216530002.

20003561253540 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 5 + 61 + 2 + 53 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2299444697664 + 17704116555876 = 1516392^2 + 4207626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20003561253495 and 20003561253504.

It is not an unprimeable number, because it can be changed into a prime (20003561253541) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 212847457 + ... + 212941416.

It is an arithmetic number, because the mean of its divisors is an integer number (540964764417).

Almost surely, 220003561253540 is an apocalyptic number.

20003561253540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20003561253540 is an abundant number, since it is smaller than the sum of its proper divisors (44912210476500).

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

20003561253540 is a wasteful number, since it uses less digits than its factorization.

20003561253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425788923 (or 425788912 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 20003561253540 its reverse (4535216530002), we get a palindrome (24538777783542).

The spelling of 20003561253540 in words is "twenty trillion, three billion, five hundred sixty-one million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 425788873 851577746 1277366619 1703155492 2128944365 2554733238 3832099857 4257888730 5109466476 6386833095 7664199714 8515777460 11496299571 12347877317 12773666190 15328399428 19160499285 22992599142 24695754634 25547332380 34488898713 37043631951 38320998570 45985198284 49391509268 57481497855 61739386585 68977797426 74087263902 76641997140 111130895853 114962995710 123478773170 137955594852 148174527804 172444493565 185218159755 222261791706 229925991420 246957546340 333392687559 344888987130 370436319510 444523583412 555654479265 666785375118 689777974260 740872639020 1000178062677 1111308958530 1333570750236 1666963437795 2000356125354 2222617917060 3333926875590 4000712250708 5000890313385 6667853751180 10001780626770 20003561253540