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896006552766 = 2313233137435437
BaseRepresentation
bin11010000100111100010…
…01101111110010111110
310011122202020101221111020
431002132021233302332
5104140010134142031
61523341510005010
7121506610015143
oct15023611576276
93148666357436
10896006552766
11315aa3381886
1212579a946766
1366654320190
143151cc9a3ca
1518491b4d096
hexd09e26fcbe

896006552766 has 128 divisors (see below), whose sum is σ = 2134914195456. Its totient is φ = 248303024640.

The previous prime is 896006552669. The next prime is 896006552767. The reversal of 896006552766 is 667255600698.

It is a happy number.

It is a super-2 number, since 2×8960065527662 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896006552767) 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 63 ways as a sum of consecutive naturals, for example, 1840000 + ... + 2275436.

It is an arithmetic number, because the mean of its divisors is an integer number (16679017152).

Almost surely, 2896006552766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896006552766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067457097728).

896006552766 is an abundant number, since it is smaller than the sum of its proper divisors (1238907642690).

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

896006552766 is a wasteful number, since it uses less digits than its factorization.

896006552766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435546.

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 896006552766 in words is "eight hundred ninety-six billion, six million, five hundred fifty-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 31 37 39 46 62 69 74 78 93 111 138 186 222 299 403 481 598 713 806 851 897 962 1147 1209 1426 1443 1702 1794 2139 2294 2418 2553 2886 3441 4278 5106 6882 9269 11063 14911 18538 22126 26381 27807 29822 33189 44733 52762 55614 66378 79143 89466 158286 342953 435437 685906 870874 1028859 1306311 2057718 2612622 5660681 10015051 11321362 13498547 16111169 16982043 20030102 26997094 30045153 32222338 33964086 40495641 48333507 60090306 80991282 96667014 130195663 175481111 209445197 260391326 310466581 350962222 370556887 390586989 418890394 499446239 526443333 620933162 628335591 741113774 781173978 931399743 998892478 1052886666 1111670661 1256671182 1498338717 1862799486 2223341322 2996677434 4036065553 4817239531 6492801107 8072131106 9634479062 11487263497 12108196659 12985602214 14451718593 19478403321 22974526994 24216393318 28903437186 34461790491 38956806642 68923580982 149334425461 298668850922 448003276383 896006552766