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68884448886 = 2321136594363
BaseRepresentation
bin100000000100111010…
…1010100011001110110
320120210200020120102200
41000021311110121312
52112033404331021
651351200445330
74656010104021
oct1001165243166
9216720216380
1068884448886
1127239526000
1211425319846
13665a2b0536
1434967ca1b8
151bd2707126
hex1009d54676

68884448886 has 96 divisors (see below), whose sum is σ = 164450183040. Its totient is φ = 20837622960.

The previous prime is 68884448879. The next prime is 68884448891.

68884448886 is a `hidden beast` number, since 68 + 8 + 8 + 4 + 4 + 488 + 86 = 666.

68884448886 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15786141 + ... + 15790503.

It is an arithmetic number, because the mean of its divisors is an integer number (1713022740).

Almost surely, 268884448886 is an apocalyptic number.

68884448886 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68884448886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82225091520).

68884448886 is an abundant number, since it is smaller than the sum of its proper divisors (95565734154).

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

68884448886 is a wasteful number, since it uses less digits than its factorization.

68884448886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063 (or 5038 counting only the distinct ones).

The product of its digits is 603979776, while the sum is 72.

The spelling of 68884448886 in words is "sixty-eight billion, eight hundred eighty-four million, four hundred forty-eight thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 659 726 1089 1318 1331 1977 2178 2662 3954 3993 4363 5931 7249 7986 8726 11862 11979 13089 14498 21747 23958 26178 39267 43494 47993 65241 78534 79739 95986 130482 143979 159478 239217 287958 431937 478434 527923 717651 863874 877129 1055846 1435302 1583769 1754258 2631387 2875217 3167538 4751307 5262774 5750434 5807153 7894161 8625651 9502614 11614306 15788322 17251302 17421459 25876953 31627387 34842918 51753906 52264377 63254774 94882161 104528754 189764322 284646483 347901257 569292966 695802514 1043703771 2087407542 3131111313 3826913827 6262222626 7653827654 11480741481 22961482962 34442224443 68884448886