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1066866095360 = 28513188933941
BaseRepresentation
bin11111000011001100010…
…11001011010100000000
310202222202201210000101102
433201212023023110000
5114434420210022420
62134040030553532
7140035636120322
oct17414613132400
93688681700342
101066866095360
1138150110902a
121529233688a8
13797b3376b40
14398cab5b612
151cb41b82a75
hexf8662cb500

1066866095360 has 144 divisors (see below), whose sum is σ = 2753590911120. Its totient is φ = 393699655680.

The previous prime is 1066866095359. The next prime is 1066866095369. The reversal of 1066866095360 is 635906686601.

It can be written as a sum of positive squares in 8 ways, for example, as 80546980864 + 986319114496 = 283808^2 + 993136^2 .

It is a super-2 number, since 2×10668660953602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066866095296 and 1066866095305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066866095369) by changing a digit.

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, 31415990 + ... + 31449930.

It is an arithmetic number, because the mean of its divisors is an integer number (19122159105).

Almost surely, 21066866095360 is an apocalyptic number.

1066866095360 is a gapful number since it is divisible by the number (10) 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 1066866095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376795455560).

1066866095360 is an abundant number, since it is smaller than the sum of its proper divisors (1686724815760).

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

1066866095360 is a wasteful number, since it uses less digits than its factorization.

1066866095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35864 (or 35850 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 1066866095360 in words is "one trillion, sixty-six billion, eight hundred sixty-six million, ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 1889 2080 3328 3778 4160 7556 8320 9445 15112 16640 18890 24557 30224 33941 37780 49114 60448 67882 75560 98228 120896 122785 135764 151120 169705 196456 241792 245570 271528 302240 339410 392912 441233 483584 491140 543056 604480 678820 785824 882466 982280 1086112 1208960 1357640 1571648 1764932 1964560 2172224 2206165 2417920 2715280 3143296 3529864 3929120 4344448 4412330 5430560 6286592 7059728 7858240 8688896 8824660 10861120 14119456 15716480 17649320 21722240 28238912 31432960 35298640 43444480 56477824 64114549 70597280 112955648 128229098 141194560 256458196 282389120 320572745 512916392 564778240 641145490 833489137 1025832784 1282290980 1666978274 2051665568 2564581960 3333956548 4103331136 4167445685 5129163920 6667913096 8206662272 8334891370 10258327840 13335826192 16413324544 16669782740 20516655680 26671652384 33339565480 41033311360 53343304768 66679130960 82066622720 106686609536 133358261920 213373219072 266716523840 533433047680 1066866095360