Search a number
-
+
801285204880 = 245191018396221
BaseRepresentation
bin10111010100100000101…
…00011110101110010000
32211121020221110220122101
423222100110132232100
5101112013003024010
61412034430450144
7111614410602016
oct13522024365620
92747227426571
10801285204880
11289906677196
1210b364963954
135a73a304334
142aad4d148b6
1515c9b05d73a
hexba9051eb90

801285204880 has 160 divisors (see below), whose sum is σ = 1983135571200. Its totient is φ = 300231936000.

The previous prime is 801285204857. The next prime is 801285204883. The reversal of 801285204880 is 88402582108.

It is a super-3 number, since 3×8012852048803 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 801285204880.

It is not an unprimeable number, because it can be changed into a prime (801285204883) 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, 128800170 + ... + 128806390.

It is an arithmetic number, because the mean of its divisors is an integer number (12394597320).

Almost surely, 2801285204880 is an apocalyptic number.

801285204880 is a gapful number since it is divisible by the number (80) 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 801285204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991567785600).

801285204880 is an abundant number, since it is smaller than the sum of its proper divisors (1181850366320).

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

801285204880 is a wasteful number, since it uses less digits than its factorization.

801285204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 46.

Adding to 801285204880 its reverse (88402582108), we get a palindrome (889687786988).

The spelling of 801285204880 in words is "eight hundred one billion, two hundred eighty-five million, two hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 304 380 404 505 760 808 839 1010 1520 1616 1678 1919 2020 3356 3838 4040 4195 6221 6712 7676 8080 8390 9595 12442 13424 15352 15941 16780 19190 24884 30704 31105 31882 33560 38380 49768 62210 63764 67120 76760 79705 84739 99536 118199 124420 127528 153520 159410 169478 236398 248840 255056 318820 338956 423695 472796 497680 590995 628321 637640 677912 847390 945592 1181990 1256642 1275280 1355824 1610041 1694780 1891184 2363980 2513284 3141605 3220082 3389560 4727960 5026568 5219419 6283210 6440164 6779120 8050205 9455920 10053136 10438838 11938099 12566420 12880328 16100410 20877676 23876198 25132840 25760656 26097095 32200820 41755352 47752396 50265680 52194190 59690495 64401640 83510704 95504792 99168961 104388380 119380990 128803280 191009584 198337922 208776760 238761980 396675844 417553520 477523960 495844805 527161319 793351688 955047920 991689610 1054322638 1586703376 1983379220 2108645276 2635806595 3966758440 4217290552 5271613190 7933516880 8434581104 10016065061 10543226380 20032130122 21086452760 40064260244 42172905520 50080325305 80128520488 100160650610 160257040976 200321301220 400642602440 801285204880