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56000680606224 = 24331058912242063
BaseRepresentation
bin11001011101110101011001…
…01011001011101000010000
321100021121112201101012021000
430232322230223023220100
524320003343213344344
6315034205120102000
714536626033121104
oct1456725453135020
9240247481335230
1056000680606224
11169308342a4022
126345382764900
132532ac2a91943
14db8639963904
15671a8d738a69
hex32eeacacba10

56000680606224 has 80 divisors (see below), whose sum is σ = 160757887622400. Its totient is φ = 18665129153664.

The previous prime is 56000680606207. The next prime is 56000680606267. The reversal of 56000680606224 is 42260608600065.

56000680606224 is a `hidden beast` number, since 560 + 0 + 0 + 6 + 8 + 0 + 6 + 0 + 62 + 24 = 666.

56000680606224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56000680606224.

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, 1546584 + ... + 10695479.

It is an arithmetic number, because the mean of its divisors is an integer number (2009473595280).

Almost surely, 256000680606224 is an apocalyptic number.

56000680606224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56000680606224 is an abundant number, since it is smaller than the sum of its proper divisors (104757207016176).

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

56000680606224 is a wasteful number, since it uses less digits than its factorization.

56000680606224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252669 (or 12252657 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56000680606224 in words is "fifty-six trillion, six hundred eighty million, six hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 10589 21178 31767 42356 63534 84712 95301 127068 169424 190602 254136 285903 381204 508272 571806 762408 1143612 1524816 2287224 4574448 12242063 24484126 36726189 48968252 73452378 97936504 110178567 146904756 195873008 220357134 293809512 330535701 440714268 587619024 661071402 881428536 1322142804 1762857072 2644285608 5288571216 129631205107 259262410214 388893615321 518524820428 777787230642 1037049640856 1166680845963 1555574461284 2074099281712 2333361691926 3111148922568 3500042537889 4666723383852 6222297845136 7000085075778 9333446767704 14000170151556 18666893535408 28000340303112 56000680606224