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1066052254456 = 237191358327817
BaseRepresentation
bin11111000001101011010…
…10100111101011111000
310202220200000101121112201
433200311222213223320
5114431233334120311
62133423155315544
7140006524436320
oct17406552475370
93686600347481
101066052254456
11381123784342
121527368abbb4
13796b3889087
1439850a2c280
151cae54c49c1
hexf835aa7af8

1066052254456 has 64 divisors (see below), whose sum is σ = 2297081364480. Its totient is φ = 454344318720.

The previous prime is 1066052254403. The next prime is 1066052254457. The reversal of 1066052254456 is 6544522506601.

It is a super-3 number, since 3×10660522544563 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066052254457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38309860 + ... + 38337676.

It is an arithmetic number, because the mean of its divisors is an integer number (35891896320).

Almost surely, 21066052254456 is an apocalyptic number.

It is an amenable number.

1066052254456 is an abundant number, since it is smaller than the sum of its proper divisors (1231029110024).

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

1066052254456 is a wasteful number, since it uses less digits than its factorization.

1066052254456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31604 (or 31600 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 1066052254456 in words is "one trillion, sixty-six billion, fifty-two million, two hundred fifty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 191 382 764 1337 1528 2674 3583 5348 7166 10696 14332 25081 27817 28664 50162 55634 100324 111268 194719 200648 222536 389438 684353 778876 1368706 1557752 2737412 4790471 5313047 5474824 9580942 10626094 19161884 21252188 37191329 38323768 42504376 74382658 99668311 148765316 199336622 297530632 398673244 697678177 797346488 1395356354 2790712708 5581425416 19036647401 38073294802 76146589604 133256531807 152293179208 266513063614 533026127228 1066052254456