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56809721680 = 2452924486949
BaseRepresentation
bin110100111010000111…
…111000111101010000
312102122011111212121221
4310322013320331100
51412321242043210
642033101254424
74050540444505
oct647207707520
9172564455557
1056809721680
1122102674808
12b015564414
13548481363a
142a6ccb94ac
1517276251da
hexd3a1f8f50

56809721680 has 40 divisors (see below), whose sum is σ = 136637181000. Its totient is φ = 21940305408.

The previous prime is 56809721653. The next prime is 56809721681. The reversal of 56809721680 is 8612790865.

It can be written as a sum of positive squares in 4 ways, for example, as 306530064 + 56503191616 = 17508^2 + 237704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56809721681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12241155 + ... + 12245794.

It is an arithmetic number, because the mean of its divisors is an integer number (3415929525).

Almost surely, 256809721680 is an apocalyptic number.

It is an amenable number.

56809721680 is an abundant number, since it is smaller than the sum of its proper divisors (79827459320).

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

56809721680 is a wasteful number, since it uses less digits than its factorization.

56809721680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24486991 (or 24486985 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 56809721680 in words is "fifty-six billion, eight hundred nine million, seven hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 24486949 48973898 97947796 122434745 195895592 244869490 391791184 489738980 710121521 979477960 1420243042 1958955920 2840486084 3550607605 5680972168 7101215210 11361944336 14202430420 28404860840 56809721680