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668851781776 = 242931114393221
BaseRepresentation
bin10011011101110101010…
…11000100000010010000
32100221102102121222001221
421232322223010002100
541424302024004101
61231133302534424
766215525224453
oct11567253040220
92327372558057
10668851781776
11238727437292
12a9765137414
134b0c3240a99
14245305a949a
15125e9770aa1
hex9bbaac4090

668851781776 has 80 divisors (see below), whose sum is σ = 1346249548800. Its totient is φ = 321532198400.

The previous prime is 668851781761. The next prime is 668851781777. The reversal of 668851781776 is 677187158866.

It is not an unprimeable number, because it can be changed into a prime (668851781777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207651846 + ... + 207655066.

It is an arithmetic number, because the mean of its divisors is an integer number (16828119360).

Almost surely, 2668851781776 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 668851781776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673124774400).

668851781776 is an abundant number, since it is smaller than the sum of its proper divisors (677397767024).

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

668851781776 is a wasteful number, since it uses less digits than its factorization.

668851781776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5002 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 70.

The spelling of 668851781776 in words is "six hundred sixty-eight billion, eight hundred fifty-one million, seven hundred eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 311 464 622 1244 1439 2488 2878 3221 4976 5756 6442 9019 11512 12884 18038 23024 25768 36076 41731 51536 72152 83462 93409 144304 166924 186818 333848 373636 447529 667696 747272 895058 1001731 1494544 1790116 2003462 3580232 4006924 4635019 7160464 8013848 9270038 12978341 16027696 18540076 25956682 29050199 37080152 51913364 58100398 74160304 103826728 116200796 134415551 207653456 232401592 268831102 464803184 537662204 1075324408 1441490909 2150648816 2882981818 5765963636 11531927272 23063854544 41803236361 83606472722 167212945444 334425890888 668851781776