Search a number
-
+
264248442060840 = 233251303563333423
BaseRepresentation
bin111100000101010100100010…
…100001011000000000101000
31021122121220102021021121211200
4330011110202201120000220
5234113421302131421330
62334002020341324200
7106442214506166426
oct7405244241300050
91248556367247750
10264248442060840
117721a153667546
1225779150706660
13b45a6a0cc7793
14493799b206116
152083a95c74a60
hexf05522858028

264248442060840 has 96 divisors (see below), whose sum is σ = 859466538328320. Its totient is φ = 70412171082624.

The previous prime is 264248442060839. The next prime is 264248442060847. The reversal of 264248442060840 is 48060244842462.

264248442060840 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 4 + 8 + 4 + 4 + 20 + 608 + 4 + 0 = 666.

It is a super-2 number, since 2×2642484420608402 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264248442060847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281197632 + ... + 282135791.

It is an arithmetic number, because the mean of its divisors is an integer number (8952776440920).

Almost surely, 2264248442060840 is an apocalyptic number.

264248442060840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264248442060840 is an abundant number, since it is smaller than the sum of its proper divisors (595218096267480).

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

264248442060840 is a wasteful number, since it uses less digits than its factorization.

264248442060840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563334743 (or 563334736 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 264248442060840 in words is "two hundred sixty-four trillion, two hundred forty-eight billion, four hundred forty-two million, sixty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1303 2606 3909 5212 6515 7818 10424 11727 13030 15636 19545 23454 26060 31272 39090 46908 52120 58635 78180 93816 117270 156360 234540 469080 563333423 1126666846 1690000269 2253333692 2816667115 3380000538 4506667384 5070000807 5633334230 6760001076 8450001345 10140001614 11266668460 13520002152 16900002690 20280003228 22533336920 25350004035 33800005380 40560006456 50700008070 67600010760 101400016140 202800032280 734023450169 1468046900338 2202070350507 2936093800676 3670117250845 4404140701014 5872187601352 6606211051521 7340234501690 8808281402028 11010351752535 13212422103042 14680469003380 17616562804056 22020703505070 26424844206084 29360938006760 33031055257605 44041407010140 52849688412168 66062110515210 88082814020280 132124221030420 264248442060840