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511042041220 = 2253711317233547
BaseRepresentation
bin1110110111111000111…
…10101011010110000100
31210212002101202112012011
413123330132223112010
531333103230304340
61030434112304004
751631045451344
oct7337436532604
91725071675164
10511042041220
11187805a004a7
1283062b42004
13392639a5089
141aa3d918d24
15d4602290ea
hex76fc7ab584

511042041220 has 96 divisors (see below), whose sum is σ = 1112906325888. Its totient is φ = 196961974272.

The previous prime is 511042041187. The next prime is 511042041221. The reversal of 511042041220 is 22140240115.

It is a super-2 number, since 2×5110420412202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511042041191 and 511042041200.

It is not an unprimeable number, because it can be changed into a prime (511042041221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144075487 + ... + 144079033.

It is an arithmetic number, because the mean of its divisors is an integer number (11592774228).

Almost surely, 2511042041220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511042041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556453162944).

511042041220 is an abundant number, since it is smaller than the sum of its proper divisors (601864284668).

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

511042041220 is a wasteful number, since it uses less digits than its factorization.

511042041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 511042041220 its reverse (22140240115), we get a palindrome (533182281335).

The spelling of 511042041220 in words is "five hundred eleven billion, forty-two million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 113 148 185 226 370 452 565 740 1130 1723 2260 3446 3547 4181 6892 7094 8362 8615 14188 16724 17230 17735 20905 34460 35470 41810 63751 70940 83620 127502 131239 194699 255004 262478 318755 389398 400811 524956 637510 656195 778796 801622 973495 1275020 1312390 1603244 1946990 2004055 2624780 3893980 4008110 6111481 7203863 8016220 12222962 14407726 14830007 24445924 28815452 29660014 30557405 36019315 59320028 61114810 72038630 74150035 122229620 144077260 148300070 226124797 296600140 452249594 690597353 904499188 1130623985 1381194706 2261247970 2762389412 3452986765 4522495940 6905973530 13811947060 25552102061 51104204122 102208408244 127760510305 255521020610 511042041220