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1666104768 = 26332833407
BaseRepresentation
bin110001101001110…
…1011110111000000
311022010001220002000
41203103223313000
511403010323033
6433154224000
756200441206
oct14323536700
94263056060
101666104768
11785522199
123a5b85000
1320723c613
1411b3c1076
159b40aa13
hex634ebdc0

1666104768 has 112 divisors (see below), whose sum is σ = 4916789760. Its totient is φ = 553243392.

The previous prime is 1666104721. The next prime is 1666104779. The reversal of 1666104768 is 8674016661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487321 + ... + 490727.

Almost surely, 21666104768 is an apocalyptic number.

1666104768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1666104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458394880).

1666104768 is an abundant number, since it is smaller than the sum of its proper divisors (3250684992).

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

1666104768 is a wasteful number, since it uses less digits than its factorization.

1666104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1666104768 is about 40817.9466411528. The cubic root of 1666104768 is about 1185.4978456133.

The spelling of 1666104768 in words is "one billion, six hundred sixty-six million, one hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 283 288 432 566 576 849 864 1132 1698 1728 2264 2547 3396 3407 4528 5094 6792 6814 7641 9056 10188 10221 13584 13628 15282 18112 20376 20442 27168 27256 30564 30663 40752 40884 54336 54512 61128 61326 81504 81768 91989 109024 122256 122652 163008 163536 183978 218048 244512 245304 327072 367956 489024 490608 654144 735912 964181 981216 1471824 1928362 1962432 2892543 2943648 3856724 5785086 5887296 7713448 8677629 11570172 15426896 17355258 23140344 26032887 30853792 34710516 46280688 52065774 61707584 69421032 92561376 104131548 138842064 185122752 208263096 277684128 416526192 555368256 833052384 1666104768