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66679444497666 = 237111314717547341
BaseRepresentation
bin11110010100101000001001…
…00110100110010100000010
322202002111022010121202102010
433022110010212212110002
532214434000242411131
6353452040335033350
720021300536410120
oct1712240446462402
9282074263552363
1066679444497666
111a2786590a8aa0
12758ab0b06b856
132b28ac9884790
141267433862910
157a97431e8b46
hex3ca5049a6502

66679444497666 has 128 divisors (see below), whose sum is σ = 179177038774272. Its totient is φ = 15976209312000.

The previous prime is 66679444497641. The next prime is 66679444497689.

66679444497666 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×666794444976662 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5061156 + ... + 12608496.

It is an arithmetic number, because the mean of its divisors is an integer number (1399820615424).

Almost surely, 266679444497666 is an apocalyptic number.

66679444497666 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 66679444497666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89588519387136).

66679444497666 is an abundant number, since it is smaller than the sum of its proper divisors (112497594276606).

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

66679444497666 is a wasteful number, since it uses less digits than its factorization.

66679444497666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548848.

The product of its digits is 47405481984, while the sum is 84.

The spelling of 66679444497666 in words is "sixty-six trillion, six hundred seventy-nine billion, four hundred forty-four million, four hundred ninety-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1471 2002 2942 3003 4413 6006 8826 10297 16181 19123 20594 30891 32362 38246 48543 57369 61782 97086 113267 114738 133861 210353 226534 267722 339801 401583 420706 631059 679602 803166 1262118 1472471 2944942 4417413 7547341 8834826 15094682 22642023 45284046 52831387 83020751 98115433 105662774 158494161 166041502 196230866 249062253 294346299 316988322 498124506 581145257 588692598 686808031 1079269763 1162290514 1373616062 1743435771 2060424093 2158539526 3237809289 3486871542 4120848186 6475618578 7554888341 11102138611 15109776682 22204277222 22664665023 33306415833 45329330046 66612831666 77714970277 122123524721 144327801943 155429940554 233144910831 244247049442 288655603886 366370574163 432983405829 466289821662 732741148326 854864673047 865966811658 1010294613601 1587605821373 1709729346094 2020589227202 2564594019141 3030883840803 3175211642746 4762817464119 5129188038282 6061767681606 9525634928238 11113240749611 22226481499222 33339722248833 66679444497666