Search a number
-
+
505055000560 = 2451117101334261
BaseRepresentation
bin1110101100101111001…
…11111011011111110000
31210021122011002100101111
413112113213323133300
531233323040004220
61024004041243104
751326506446325
oct7262747733760
91707564070344
10505055000560
11185213421210
1281a71a93494
133881b4c5b76
141a632720b4c
15d20e80115a
hex75979fb7f0

505055000560 has 160 divisors (see below), whose sum is σ = 1369789631424. Its totient is φ = 171141120000.

The previous prime is 505055000533. The next prime is 505055000561. The reversal of 505055000560 is 65000550505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505055000561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343830 + ... + 1678090.

Almost surely, 2505055000560 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 505055000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684894815712).

505055000560 is an abundant number, since it is smaller than the sum of its proper divisors (864734630864).

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

505055000560 is a wasteful number, since it uses less digits than its factorization.

505055000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334403 (or 334397 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The spelling of 505055000560 in words is "five hundred five billion, fifty-five million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 101 110 136 170 176 187 202 220 272 340 374 404 440 505 680 748 808 880 935 1010 1111 1360 1496 1616 1717 1870 2020 2222 2992 3434 3740 4040 4444 5555 6868 7480 8080 8585 8888 11110 13736 14960 17170 17776 18887 22220 27472 34340 37774 44440 68680 75548 88880 94435 137360 151096 188870 302192 334261 377740 668522 755480 1337044 1510960 1671305 2674088 3342610 3676871 5348176 5682437 6685220 7353742 11364874 13370440 14707484 18384355 22729748 26740880 28412185 29414968 33760361 36768710 45459496 56824370 58829936 62506807 67520722 73537420 90918992 113648740 125013614 135041444 147074840 168801805 227297480 250027228 270082888 294149680 312534035 337603610 371363971 454594960 500054456 540165776 573926137 625068070 675207220 742727942 1000108912 1147852274 1250136140 1350414440 1485455884 1856819855 2295704548 2500272280 2700828880 2869630685 2970911768 3713639710 4591409096 5000544560 5739261370 5941823536 6313187507 7427279420 9182818192 11478522740 12626375014 14854558840 22957045480 25252750028 29709117680 31565937535 45914090960 50505500056 63131875070 101011000112 126263750140 252527500280 505055000560