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263230064747144 = 23117192814539413
BaseRepresentation
bin111011110110100000000110…
…100000001110001010001000
31021112000112210210200221020122
4323312200012200032022020
5234000230133033402034
62331502120005242412
7106305513251641355
oct7366400640161210
91245015723627218
10263230064747144
11769672751798a0
1225633900103408
13b3b56475a1131
1449005901d562c
152067340e7362e
hexef680680e288

263230064747144 has 64 divisors (see below), whose sum is σ = 546067536094080. Its totient is φ = 117952081408000.

The previous prime is 263230064747141. The next prime is 263230064747179. The reversal of 263230064747144 is 441747460032362.

It is not an unprimeable number, because it can be changed into a prime (263230064747141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55717982 + ... + 60257394.

It is an arithmetic number, because the mean of its divisors is an integer number (8532305251470).

Almost surely, 2263230064747144 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 263230064747144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273033768047040).

263230064747144 is an abundant number, since it is smaller than the sum of its proper divisors (282837471346936).

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

263230064747144 is a wasteful number, since it uses less digits than its factorization.

263230064747144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548782 (or 4548778 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 53.

The spelling of 263230064747144 in words is "two hundred sixty-three trillion, two hundred thirty billion, sixty-four million, seven hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 9281 18562 37124 74248 102091 204182 408364 658951 816728 1317902 2635804 4539413 5271608 7248461 9078826 14496922 18157652 28993844 36315304 49933543 57987688 99867086 199734172 322298323 399468344 644596646 1289193292 2578386584 3545281553 7090563106 14181126212 28362252424 42130292053 84260584106 168521168212 337042336424 463433212583 926866425166 1853732850332 2991250735763 3707465700664 5982501471526 11965002943052 23930005886104 32903758093393 65807516186786 131615032373572 263230064747144