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505045341135010 = 251317376473954181
BaseRepresentation
bin111001011010101100000100…
…0001001110110000010100010
32110020012212022012001002011101
41302311120020021312002202
51012144130324312310020
64550050343212105014
7211244215240131034
oct16265301011660242
92406185265032141
10505045341135010
11136a17587625135
1248789206a6516a
13188a675723a210
148ca04798b1c54
153d5c5c599500a
hex1cb56082760a2

505045341135010 has 128 divisors (see below), whose sum is σ = 1064781647826624. Its totient is φ = 170738923438080.

The previous prime is 505045341134981. The next prime is 505045341135019. The reversal of 505045341135010 is 10531143540505.

It can be written as a sum of positive squares in 32 ways, for example, as 16465554181729 + 488579786953281 = 4057777^2 + 22103841^2 .

It is a super-4 number, since 4×5050453411350104 (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (505045341135019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528820120 + ... + 529774300.

Almost surely, 2505045341135010 is an apocalyptic number.

505045341135010 is an abundant number, since it is smaller than the sum of its proper divisors (559736306691614).

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

505045341135010 is a wasteful number, since it uses less digits than its factorization.

505045341135010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960728.

The product of its (nonzero) digits is 90000, while the sum is 37.

Adding to 505045341135010 its reverse (10531143540505), we get a palindrome (515576484675515).

The spelling of 505045341135010 in words is "five hundred five trillion, forty-five billion, three hundred forty-one million, one hundred thirty-five thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 37 65 74 85 130 170 185 221 370 442 481 629 962 1105 1258 2210 2405 3145 4810 6290 6473 8177 12946 16354 32365 40885 64730 81770 84149 110041 168298 220082 239501 420745 479002 550205 841490 954181 1100410 1197505 1430533 1908362 2395010 2861066 3113513 4071517 4770905 6227026 7152665 8143034 9541810 12404353 14305330 15567565 16221077 20357585 24808706 31135130 32442154 35304697 40715170 52929721 62021765 70609394 81105385 105859442 124043530 162210770 176523485 210874001 264648605 353046970 421748002 458961061 529297210 600179849 917922122 1054370005 1200359698 2108740010 2294805305 3000899245 4589610610 6001798490 6176413613 7802338037 12352827226 15604676074 30882068065 39011690185 61764136130 78023380370 80293376969 104999031421 160586753938 209998062842 228527303681 401466884845 457054607362 524995157105 802933769690 1049990314210 1142636518405 1364987408473 2285273036810 2729974816946 2970854947853 3884964162577 5941709895706 6824937042365 7769928325154 13649874084730 14854274739265 19424820812885 29708549478530 38849641625770 50504534113501 101009068227002 252522670567505 505045341135010