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508020288045420 = 223528398101304979
BaseRepresentation
bin111001110000010101011000…
…0110011101100000101101100
32110121202021011100111112120110
41303200222300303230011230
51013041401022214423140
65000245144245020020
7212002153216500453
oct16340526063540554
92417667140445513
10508020288045420
111379642155a3897
1248b8989a6b4610
1318a61152536147
148d64455361b9a
153daeb90a2b380
hex1ce0ab0cec16c

508020288045420 has 96 divisors (see below), whose sum is σ = 1427502387467520. Its totient is φ = 134991558201600.

The previous prime is 508020288045373. The next prime is 508020288045427. The reversal of 508020288045420 is 24540882020805.

It is a super-3 number, since 3×5080202880454203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 508020288045420.

It is not an unprimeable number, because it can be changed into a prime (508020288045427) 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, 1665602491 + ... + 1665907469.

It is an arithmetic number, because the mean of its divisors is an integer number (14869816536120).

Almost surely, 2508020288045420 is an apocalyptic number.

It is an amenable number.

508020288045420 is an abundant number, since it is smaller than the sum of its proper divisors (919482099422100).

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

508020288045420 is a wasteful number, since it uses less digits than its factorization.

508020288045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403375 (or 403373 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 508020288045420 in words is "five hundred eight trillion, twenty billion, two hundred eighty-eight million, forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 849 1132 1415 1698 2830 3396 4245 5660 8490 16980 98101 196202 294303 304979 392404 490505 588606 609958 914937 981010 1177212 1219916 1471515 1524895 1829874 1962020 2943030 3049790 3659748 4574685 5886060 6099580 9149370 18298740 27762583 55525166 83287749 86309057 111050332 138812915 166575498 172618114 258927171 277625830 333150996 345236228 416438745 431545285 517854342 555251660 832877490 863090570 1035708684 1294635855 1665754980 1726181140 2589271710 5178543420 29918744879 59837489758 89756234637 119674979516 149593724395 179512469274 299187448790 359024938548 448781173185 598374897580 897562346370 1795124692740 8467004800757 16934009601514 25401014402271 33868019203028 42335024003785 50802028804542 84670048007570 101604057609084 127005072011355 169340096015140 254010144022710 508020288045420