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666978879666 = 231125918186029
BaseRepresentation
bin10011011010010110000…
…10100000100010110010
32100202120220102200101010
421231023002200202302
541411433043122131
61230223400051350
766121233635451
oct11551302404262
92322526380333
10666978879666
1123795620a200
12a9321a63b56
134ab85207298
14243d3956b98
151253a116b46
hex9b4b0a08b2

666978879666 has 96 divisors (see below), whose sum is σ = 1499358369600. Its totient is φ = 197589110400.

The previous prime is 666978879653. The next prime is 666978879689.

666978879666 is nontrivially palindromic in base 10.

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, 7709940 + ... + 7795968.

It is an arithmetic number, because the mean of its divisors is an integer number (15618316350).

Almost surely, 2666978879666 is an apocalyptic number.

666978879666 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 666978879666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749679184800).

666978879666 is an abundant number, since it is smaller than the sum of its proper divisors (832379489934).

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

666978879666 is a wasteful number, since it uses less digits than its factorization.

666978879666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86296 (or 86285 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 84.

The spelling of 666978879666 in words is "six hundred sixty-six billion, nine hundred seventy-eight million, eight hundred seventy-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 181 242 354 362 363 543 649 726 1086 1298 1947 1991 3894 3982 5973 7139 10679 11946 14278 21358 21417 21901 32037 42834 43802 64074 65703 86029 117469 131406 172058 234938 258087 352407 516174 704814 946319 1292159 1892638 2584318 2838957 3876477 5075711 5677914 7752954 10151422 10409509 15227133 15571249 20819018 30454266 31142498 31228527 46713747 55832821 62457054 93427494 111665642 167498463 171283739 334996926 342567478 513851217 614161031 918703691 1027702434 1228322062 1837407382 1842483093 1884121129 2756111073 3684966186 3768242258 5512222146 5652363387 10105740601 11304726774 20211481202 30317221803 60634443606 111163146611 222326293222 333489439833 666978879666