Search a number
-
+
266288004642 = 231143193486163
BaseRepresentation
bin1111100000000000000…
…0000111111000100010
3221110100001212020000110
43320000000013320202
513330324212122032
6322155300032150
725144602456522
oct3700000077042
9843301766013
10266288004642
11a2a28700210
1243737392656
131c15970306a
14cc61b13682
156dd7c4e7cc
hex3e00007e22

266288004642 has 64 divisors (see below), whose sum is σ = 597585010176. Its totient is φ = 78408207360.

The previous prime is 266288004583. The next prime is 266288004673. The reversal of 266288004642 is 246400882662.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 266288004591 and 266288004600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304653 + ... + 790815.

It is an arithmetic number, because the mean of its divisors is an integer number (9337265784).

Almost surely, 2266288004642 is an apocalyptic number.

266288004642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 266288004642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298792505088).

266288004642 is an abundant number, since it is smaller than the sum of its proper divisors (331297005534).

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

266288004642 is a wasteful number, since it uses less digits than its factorization.

266288004642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486415.

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 266288004642 in words is "two hundred sixty-six billion, two hundred eighty-eight million, four thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 193 258 386 473 579 946 1158 1419 2123 2838 4246 6369 8299 12738 16598 24897 49794 91289 182578 273867 486163 547734 972326 1458489 2916978 5347793 10695586 16043379 20905009 32086758 41810018 62715027 93829459 125430054 187658918 229955099 281488377 459910198 562976754 689865297 1032124049 1379730594 2064248098 3096372147 4034666737 6192744294 8069333474 12104000211 24208000422 44381334107 88762668214 133144002321 266288004642