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503053220335432 = 231343239939150119
BaseRepresentation
bin111001001100001100011010…
…0100000000100111101001000
32102222011102021212022002020011
41302120120310200010331020
51011414010443401213212
64541523243053441304
7210650252520541534
oct16230306440047510
92388142255262204
10503053220335432
11136319744344238
12485071017a0234
131879093b1a2120
148c31c97642bc4
153d2587e5a04a7
hex1c98634804f48

503053220335432 has 128 divisors (see below), whose sum is σ = 1043884283904000. Its totient is φ = 225801492860160.

The previous prime is 503053220335387. The next prime is 503053220335459. The reversal of 503053220335432 is 234533022350305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10037150869 + ... + 10037200987.

It is an arithmetic number, because the mean of its divisors is an integer number (8155345968000).

Almost surely, 2503053220335432 is an apocalyptic number.

503053220335432 is a gapful number since it is divisible by the number (52) 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 503053220335432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521942141952000).

503053220335432 is an abundant number, since it is smaller than the sum of its proper divisors (540831063568568).

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

503053220335432 is a wasteful number, since it uses less digits than its factorization.

503053220335432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59811 (or 59807 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 40.

Adding to 503053220335432 its reverse (234533022350305), we get a palindrome (737586242685737).

The spelling of 503053220335432 in words is "five hundred three trillion, fifty-three billion, two hundred twenty million, three hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 239 344 478 559 956 1118 1912 2236 3107 4472 6214 9391 10277 12428 18782 20554 24856 37564 41108 50119 75128 82216 100238 122083 133601 200476 244166 267202 400952 403813 488332 534404 651547 807626 976664 1068808 1303094 1615252 2155117 2244449 2606188 3230504 4310234 4488898 5212376 5249569 8620468 8977796 10499138 11978441 17240936 17955592 20998276 23956882 28016521 29177837 41996552 47913764 56033042 58355674 95827528 96511307 112066084 116711348 155719733 193022614 224132168 233422696 311439466 386045228 470667529 515072963 622878932 772090456 941335058 1030145926 1245757864 1254646991 1882670116 2060291852 2509293982 3765340232 4120583704 5018587964 6118677877 6695948519 10037175928 12237355754 13391897038 20238703747 24474711508 26783794076 40477407494 48949423016 53567588152 80954814988 112489539431 161909629976 224979078862 263103148711 449958157724 526206297422 899916315448 1052412594844 1462364012603 2104825189688 2924728025206 4837050195533 5849456050412 9674100391066 11698912100824 19348200782132 38696401564264 62881652541929 125763305083858 251526610167716 503053220335432