Search a number
-
+
255102161201552 = 24719922949981301
BaseRepresentation
bin111010000000001110011001…
…101100110010100110010000
31020110020112021020020012120002
4322000032121230302212100
5231414043211231422202
62302320152012305132
7104506344236503550
oct7200163154624620
91213215236205502
10255102161201552
1174313245553785
12247406117721a8
13ac46052251522
1446dd020a93160
151e75bd5261302
hexe80399b32990

255102161201552 has 80 divisors (see below), whose sum is σ = 570186693216000. Its totient is φ = 108305078745600.

The previous prime is 255102161201551. The next prime is 255102161201561.

255102161201552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2551021612015522 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255102161201551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19886699 + ... + 30094602.

It is an arithmetic number, because the mean of its divisors is an integer number (7127333665200).

Almost surely, 2255102161201552 is an apocalyptic number.

It is an amenable number.

255102161201552 is an abundant number, since it is smaller than the sum of its proper divisors (315084532014448).

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

255102161201552 is a wasteful number, since it uses less digits than its factorization.

255102161201552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49981744 (or 49981738 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 38.

The spelling of 255102161201552 in words is "two hundred fifty-five trillion, one hundred two billion, one hundred sixty-one million, two hundred one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 229 398 458 796 916 1393 1592 1603 1832 2786 3184 3206 3664 5572 6412 11144 12824 22288 25648 45571 91142 182284 318997 364568 637994 729136 1275988 2551976 5103952 49981301 99962602 199925204 349869107 399850408 699738214 799700816 1399476428 2798952856 5597905712 9946278899 11445717929 19892557798 22891435858 39785115596 45782871716 69623952293 79570231192 80120025503 91565743432 139247904586 159140462384 160240051006 183131486864 278495809172 320480102012 556991618344 640960204024 1113983236688 1281920408048 2277697867871 4555395735742 9110791471484 15943885075097 18221582942968 31887770150194 36443165885936 63775540300388 127551080600776 255102161201552