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56485668286000 = 245334078289649
BaseRepresentation
bin11001101011111100110000…
…01100010110111000110000
321101222222101100021000122101
430311332120030112320300
524400430122040123000
6320045054025150144
714616645342306142
oct1465763014267060
9241888340230571
1056485668286000
1116aa848a1950a8
12640337402b354
13256976396b9a5
14dd3cc7076c92
1567e4c6421e6a
hex335f98316e30

56485668286000 has 80 divisors (see below), whose sum is σ = 136622451139200. Its totient is φ = 22587632870400.

The previous prime is 56485668285997. The next prime is 56485668286027. The reversal of 56485668286000 is 68286658465.

56485668286000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 2669176 + ... + 10958824.

It is an arithmetic number, because the mean of its divisors is an integer number (1707780639240).

Almost surely, 256485668286000 is an apocalyptic number.

56485668286000 is a gapful number since it is divisible by the number (50) 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 56485668286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68311225569600).

56485668286000 is an abundant number, since it is smaller than the sum of its proper divisors (80136782853200).

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

56485668286000 is a wasteful number, since it uses less digits than its factorization.

56485668286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293079 (or 8293063 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 64.

The spelling of 56485668286000 in words is "fifty-six trillion, four hundred eighty-five billion, six hundred sixty-eight million, two hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3407 6814 13628 17035 27256 34070 54512 68140 85175 136280 170350 272560 340700 425875 681400 851750 1362800 1703500 3407000 6814000 8289649 16579298 33158596 41448245 66317192 82896490 132634384 165792980 207241225 331585960 414482450 663171920 828964900 1036206125 1657929800 2072412250 3315859600 4144824500 8289649000 16579298000 28242834143 56485668286 112971336572 141214170715 225942673144 282428341430 451885346288 564856682860 706070853575 1129713365720 1412141707150 2259426731440 2824283414300 3530354267875 5648566828600 7060708535750 11297133657200 14121417071500 28242834143000 56485668286000