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56005605869328 = 2433616321035633
BaseRepresentation
bin11001011101111110100100…
…01111100100011100010000
321100022002020222010111002000
430232333102033210130100
524320043440100304303
6315040341541354000
714540162060142543
oct1456772217443420
9240262228114060
1056005605869328
11169329314a50a5
126346318108900
1325333c92b38cb
14db8985b2c85a
15671c7ad2ada3
hex32efd23e4710

56005605869328 has 80 divisors (see below), whose sum is σ = 160782923490240. Its totient is φ = 18665505271296.

The previous prime is 56005605869267. The next prime is 56005605869329. The reversal of 56005605869328 is 82396850650065.

56005605869328 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 560 + 5 + 8 + 69 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×560056058693282 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56005605869329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7855401 + ... + 13180232.

It is an arithmetic number, because the mean of its divisors is an integer number (2009786543628).

Almost surely, 256005605869328 is an apocalyptic number.

It is an amenable number.

56005605869328 is an abundant number, since it is smaller than the sum of its proper divisors (104777317620912).

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

56005605869328 is a wasteful number, since it uses less digits than its factorization.

56005605869328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21041813 (or 21041801 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 56005605869328 in words is "fifty-six trillion, five billion, six hundred five million, eight hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6163 12326 18489 24652 36978 49304 55467 73956 98608 110934 147912 166401 221868 295824 332802 443736 665604 887472 1331208 2662416 21035633 42071266 63106899 84142532 126213798 168285064 189320697 252427596 336570128 378641394 504855192 567962091 757282788 1009710384 1135924182 1514565576 2271848364 3029131152 4543696728 9087393456 129642606179 259285212358 388927818537 518570424716 777855637074 1037140849432 1166783455611 1555711274148 2074281698864 2333566911222 3111422548296 3500350366833 4667133822444 6222845096592 7000700733666 9334267644888 14001401467332 18668535289776 28002802934664 56005605869328