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215200018958764 = 227313072315934871
BaseRepresentation
bin110000111011100100101000…
…101011111000100110101100
31001012221220212022221022211211
4300323210220223320212230
5211201314114323140024
62041405305055324204
763220455040562530
oct6073445053704654
91035856768838754
10215200018958764
11626298a74a4024
1220177256b20664
139310375708018
143b1da44d13bc0
1519d2ca6670594
hexc3b928af89ac

215200018958764 has 96 divisors (see below), whose sum is σ = 445763118366720. Its totient is φ = 88956343713600.

The previous prime is 215200018958747. The next prime is 215200018958801. The reversal of 215200018958764 is 467859810002512.

215200018958764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2152000189587642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215200018958699 and 215200018958708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6171300249 + ... + 6171335119.

It is an arithmetic number, because the mean of its divisors is an integer number (4643365816320).

Almost surely, 2215200018958764 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 215200018958764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222881559183360).

215200018958764 is an abundant number, since it is smaller than the sum of its proper divisors (230563099407956).

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

215200018958764 is a wasteful number, since it uses less digits than its factorization.

215200018958764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58379 (or 58377 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 215200018958764 in words is "two hundred fifteen trillion, two hundred billion, eighteen million, nine hundred fifty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 307 434 614 868 1228 2149 4298 8596 9517 19034 23159 34871 38068 46318 66619 69742 92636 133238 139484 162113 244097 266476 324226 488194 648452 717929 976388 1081001 1435858 2162002 2871716 4324004 5025503 7109813 7567007 10051006 10705397 14219626 15134014 20102012 21410794 28439252 30268028 42821588 49768691 74937779 99537382 149875558 199074764 220404203 299751116 331867307 440808406 663734614 807577489 881616812 1327469228 1542829421 1615154978 2323071149 3085658842 3230309956 4646142298 5653042423 6171317684 9292284596 11306084846 22612169692 25034902159 50069804318 100139608636 175244315113 247926289123 350488630226 495852578246 700977260452 991705156492 1735484023861 3470968047722 6941936095444 7685714962813 15371429925626 30742859851252 53800004739691 107600009479382 215200018958764