Search a number
-
+
503543442220020 = 22345417581202081
BaseRepresentation
bin111001001111110000101100…
…0000000001010001111110100
32110000220021122021021001210000
41302133201120000022033310
51012000023432202020040
64542540355222031300
7211030545625032126
oct16237413000121764
92400807567231700
10503543442220020
11136498635867914
1248586113b78530
13187c7c345acb97
148c4b8bdd81216
153d334c1a54130
hex1c9f85800a3f4

503543442220020 has 120 divisors (see below), whose sum is σ = 1618162097190408. Its totient is φ = 131003171942400.

The previous prime is 503543442219971. The next prime is 503543442220033. The reversal of 503543442220020 is 20022244345305.

503543442220020 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 4 + 3 + 4 + 422 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18271623819024 + 485271818400996 = 4274532^2 + 22028886^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3790534621 + ... + 3790667460.

Almost surely, 2503543442220020 is an apocalyptic number.

It is an amenable number.

503543442220020 is an abundant number, since it is smaller than the sum of its proper divisors (1114618654970388).

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

503543442220020 is a wasteful number, since it uses less digits than its factorization.

503543442220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7581202143 (or 7581202132 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 503543442220020 its reverse (20022244345305), we get a palindrome (523565686565325).

The spelling of 503543442220020 in words is "five hundred three trillion, five hundred forty-three billion, four hundred forty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6642 7380 11070 13284 16605 22140 33210 66420 7581202081 15162404162 22743606243 30324808324 37906010405 45487212486 68230818729 75812020810 90974424972 113718031215 136461637458 151624041620 204692456187 227436062430 272923274916 310829285321 341154093645 409384912374 454872124860 614077368561 621658570642 682308187290 818769824748 932487855963 1023462280935 1228154737122 1243317141284 1364616374580 1554146426605 1864975711926 2046924561870 2456309474244 2797463567889 3070386842805 3108292853210 3729951423852 4093849123740 4662439279815 5594927135778 6140773685610 6216585706420 8392390703667 9324878559630 11189854271556 12281547371220 13987317839445 16784781407334 18649757119260 25177172111001 27974635678890 33569562814668 41961953518335 50354344222002 55949271357780 83923907036670 100708688444004 125885860555005 167847814073340 251771721110010 503543442220020