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17666663056 = 24724721012
BaseRepresentation
bin10000011101000000…
…111110001010010000
31200121012221110200221
4100131000332022100
5242140131204211
612041013522424
71163540105200
oct203500761220
950535843627
1017666663056
117546409489
123510643414
13188715c9a3
14bd845a400
156d5eb1c71
hex41d03e290

17666663056 has 135 divisors (see below), whose sum is σ = 41089590057. Its totient is φ = 7336963200.

The previous prime is 17666663051. The next prime is 17666663057. The reversal of 17666663056 is 65036666671.

The square root of 17666663056 is 132916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16973920656 + 692742400 = 130284^2 + 26320^2 .

It is a super-2 number, since 2×176666630562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17666662994 and 17666663012.

It is not an unprimeable number, because it can be changed into a prime (17666663051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174917406 + ... + 174917506.

Almost surely, 217666663056 is an apocalyptic number.

17666663056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17666663056 is the 132916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17666663056

17666663056 is an abundant number, since it is smaller than the sum of its proper divisors (23422927001).

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

17666663056 is an equidigital number, since it uses as much as digits as its factorization.

17666663056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 17666663056 in words is "seventeen billion, six hundred sixty-six million, six hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 101 112 188 196 202 329 376 392 404 658 707 752 784 808 1316 1414 1616 2209 2303 2632 2828 4418 4606 4747 4949 5264 5656 8836 9212 9494 9898 10201 11312 15463 17672 18424 18988 19796 20402 30926 33229 35344 36848 37976 39592 40804 61852 66458 71407 75952 79184 81608 108241 123704 132916 142814 163216 216482 223109 232603 247408 265832 285628 432964 446218 465206 479447 499849 531664 571256 865928 892436 930412 958894 999698 1142512 1561763 1731856 1784872 1860824 1917788 1999396 3123526 3356129 3569744 3721648 3835576 3998792 6247052 6712258 7671152 7997584 10932341 12494104 13424516 21864682 22534009 23492903 24988208 26849032 43729364 45068018 46985806 53698064 87458728 90136036 93971612 157738063 174917456 180272072 187943224 315476126 360544144 375886448 630952252 1104166441 1261904504 2208332882 2523809008 4416665764 8833331528 17666663056