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1066235282168 = 2371031108716673
BaseRepresentation
bin11111000010000001001…
…00110100001011111000
310202221010202210101100212
433201000210310023320
5114432122213012133
62133453254250252
7140014206234650
oct17410044641370
93687122711325
101066235282168
11381208024811
12152788056988
13797127800b4
143986b073360
151cb065ca148
hexf8409342f8

1066235282168 has 64 divisors (see below), whose sum is σ = 2307318773760. Its totient is φ = 452453538816.

The previous prime is 1066235282141. The next prime is 1066235282191. The reversal of 1066235282168 is 8612825326601.

It is a super-2 number, since 2×10662352821682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63941480 + ... + 63958152.

It is an arithmetic number, because the mean of its divisors is an integer number (36051855840).

Almost surely, 21066235282168 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 1066235282168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153659386880).

1066235282168 is an abundant number, since it is smaller than the sum of its proper divisors (1241083491592).

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

1066235282168 is a wasteful number, since it uses less digits than its factorization.

1066235282168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27876 (or 27872 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 1066235282168 in words is "one trillion, sixty-six billion, two hundred thirty-five million, two hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5768 11087 16673 22174 33346 44348 66692 77609 88696 116711 133384 155218 233422 310436 466844 620872 933688 1141961 1717319 2283922 3434638 4567844 6869276 7993727 9135688 12021233 13738552 15987454 24042466 31974908 48084932 63949816 96169864 184853551 369707102 739414204 1293974857 1478828408 2587949714 5175899428 10351798856 19039915753 38079831506 76159663012 133279410271 152319326024 266558820542 533117641084 1066235282168