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256642242246652 = 225323317213018947
BaseRepresentation
bin111010010110101000101101…
…101011101111011111111100
31020122200202111010102101202111
4322112220231223233133330
5232114311303003343102
62305455452442103404
7105025535003421163
oct7226505553573774
91218622433371674
10256642242246652
117485740010a529
122494ab9b7aab64
13b02834b455362
14475379d5863da
151ea0cc12a0cd7
hexe96a2daef7fc

256642242246652 has 48 divisors (see below), whose sum is σ = 459829084190112. Its totient is φ = 125286742031360.

The previous prime is 256642242246629. The next prime is 256642242246671.

256642242246652 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83501043 + ... + 86519989.

It is an arithmetic number, because the mean of its divisors is an integer number (9579772587294).

Almost surely, 2256642242246652 is an apocalyptic number.

It is an amenable number.

256642242246652 is a deficient number, since it is larger than the sum of its proper divisors (203186841943460).

256642242246652 is a wasteful number, since it uses less digits than its factorization.

256642242246652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020958 (or 3020956 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 58.

The spelling of 256642242246652 in words is "two hundred fifty-six trillion, six hundred forty-two billion, two hundred forty-two million, two hundred forty-six thousand, six hundred fifty-two".

Divisors: 1 2 4 53 106 212 233 466 932 1721 3442 6884 12349 24698 49396 91213 182426 364852 400993 801986 1603972 3018947 6037894 12075788 21252629 42505258 85010516 160004191 320008382 640016764 703414651 1406829302 2813658604 5195607787 10391215574 20782431148 37280976503 74561953006 149123906012 275367212711 550734425422 1101468850844 1210576614371 2421153228742 4842306457484 64160560561663 128321121123326 256642242246652