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1666105666104 = 2331110163119901
BaseRepresentation
bin11000001111101011101…
…000101110101000111000
312220021111202202021001010
4120033223220232220320
5204244141022303404
63313222014353520
7231241436331405
oct30175350565070
95807452667033
101666105666104
115926562388a0
1222aa9b4bb8a0
13c11615c77b9
145a8d60172ac
152d514d93189
hex183eba2ea38

1666105666104 has 128 divisors (see below), whose sum is σ = 4590104578560. Its totient is φ = 499752000000.

The previous prime is 1666105666103. The next prime is 1666105666123. The reversal of 1666105666104 is 4016665016661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666105666103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168271554 + ... + 168281454.

It is an arithmetic number, because the mean of its divisors is an integer number (35860192020).

Almost surely, 21666105666104 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 1666105666104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295052289280).

1666105666104 is an abundant number, since it is smaller than the sum of its proper divisors (2923998912456).

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

1666105666104 is a wasteful number, since it uses less digits than its factorization.

1666105666104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16333 (or 16329 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1666105666104 in words is "one trillion, six hundred sixty-six billion, one hundred five million, six hundred sixty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6311 6666 8888 9901 12622 13332 18933 19802 25244 26664 29703 37866 39604 50488 59406 69421 75732 79208 108911 118812 138842 151464 208263 217822 237624 277684 326733 416526 435644 555368 637411 653466 833052 871288 1000001 1274822 1306932 1666104 1912233 2000002 2549644 2613864 3000003 3824466 4000004 5099288 6000006 7011521 7648932 8000008 11000011 12000012 14023042 15297864 21034563 22000022 24000024 28046084 33000033 42069126 44000044 56092168 62485211 66000066 84138252 88000088 124970422 132000132 168276504 187455633 249940844 264000264 374911266 499881688 687337321 749822532 1374674642 1499645064 2062011963 2749349284 4124023926 5498698568 6311006311 8248047852 12622012622 16496095704 18933018933 25244025244 37866037866 50488050488 69421069421 75732075732 138842138842 151464151464 208263208263 277684277684 416526416526 555368555368 833052833052 1666105666104