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506873806107472 = 24172743465131721
BaseRepresentation
bin111001100111111111100000…
…1001010001011001101010000
32110110200122220001110200002101
41303033333001022023031100
51012414110023330414342
64554010340102130144
7211523265302015026
oct16317770112131520
92413618801420071
10506873806107472
11137561a79413951
1248a23658120954
13189a9cc180ca9b
148d24b748a8716
153d8ee3e4ae3b7
hex1ccffc128b350

506873806107472 has 120 divisors (see below), whose sum is σ = 1044896493362112. Its totient is φ = 238149090816000.

The previous prime is 506873806107467. The next prime is 506873806107517. The reversal of 506873806107472 is 274701608378605.

It is a super-4 number, since 4×5068738061074724 (a number of 60 digits) contains 4444 as substring.

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, 15979108572 + ... + 15979140292.

Almost surely, 2506873806107472 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 506873806107472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522448246681056).

506873806107472 is an abundant number, since it is smaller than the sum of its proper divisors (538022687254640).

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

506873806107472 is a wasteful number, since it uses less digits than its factorization.

506873806107472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37157 (or 37134 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 64.

The spelling of 506873806107472 in words is "five hundred six trillion, eight hundred seventy-three billion, eight hundred six million, one hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 743 1156 1486 2312 2972 4624 4651 5944 9302 11888 12631 18604 25262 31721 37208 50524 63442 74416 79067 101048 126884 158134 202096 214727 253768 316268 429454 507536 539257 632536 858908 1078514 1265072 1344139 1717816 2157028 2688278 3435632 3455693 4314056 5376556 6911386 8628112 9167369 10753112 13822772 18334738 21506224 23568703 27645544 36669476 47137406 55291088 58746781 73338952 94274812 117493562 146677904 147534371 188549624 234987124 295068742 377099248 400667951 469974248 590137484 801335902 939948496 998695277 1180274968 1602671804 1997390554 2360549936 2508084307 3205343608 3994781108 5016168614 6410687216 6811355167 7989562216 10032337228 13622710334 15979124432 20064674456 27245420668 40129348912 42637433219 54490841336 85274866438 108981682672 109618037653 170549732876 219236075306 341099465752 438472150612 682198931504 876944301224 1753888602448 1863506640101 3727013280202 7454026560404 14908053120808 29816106241616 31679612881717 63359225763434 126718451526868 253436903053736 506873806107472