Search a number
-
+
20195555040 = 25355519433
BaseRepresentation
bin10010110011101111…
…111011011011100000
31221010110111111100000
4102303233323123200
5312330030230130
613135552500000
71313315246133
oct226357733340
957113444300
1020195555040
118623956461
123ab754a600
131b9b06698b
14d9826c21a
157d2ee8260
hex4b3bfb6e0

20195555040 has 144 divisors (see below), whose sum is σ = 71469962928. Its totient is φ = 5385470976.

The previous prime is 20195554997. The next prime is 20195555063. The reversal of 20195555040 is 4055559102.

20195555040 is a `hidden beast` number, since 2 + 0 + 19 + 55 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 20195554986 and 20195555004.

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, 220837 + ... + 298596.

It is an arithmetic number, because the mean of its divisors is an integer number (496319187).

Almost surely, 220195555040 is an apocalyptic number.

20195555040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20195555040 is an abundant number, since it is smaller than the sum of its proper divisors (51274407888).

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

20195555040 is an equidigital number, since it uses as much as digits as its factorization.

20195555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519463 (or 519443 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 20195555040 in words is "twenty billion, one hundred ninety-five million, five hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 519433 1038866 1558299 2077732 2597165 3116598 4155464 4674897 5194330 6233196 7791495 8310928 9349794 10388660 12466392 14024691 15582990 16621856 18699588 20777320 23374485 24932784 28049382 31165980 37399176 41554640 42074073 46748970 49865568 56098764 62331960 70123455 74798352 83109280 84148146 93497940 112197528 124663920 126222219 140246910 149596704 168296292 186995880 210370365 224395056 249327840 252444438 280493820 336592584 373991760 420740730 448790112 504888876 560987640 631111095 673185168 747983520 841481460 1009777752 1121975280 1262222190 1346370336 1682962920 2019555504 2243950560 2524444380 3365925840 4039111008 5048888760 6731851680 10097777520 20195555040