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56541608003776 = 267242751421741
BaseRepresentation
bin11001101101100100111100…
…11101011100100011000000
321102012022202212201010021111
430312302132131130203000
524402334203122110101
6320130504531333104
714623665520126300
oct1466623635344300
9242168685633244
1056541608003776
111701a185755015
126412186151194
132571b0a15bbcc
14dd68b25a3600
15680b9c493251
hex336c9e75c8c0

56541608003776 has 84 divisors (see below), whose sum is σ = 130521442930176. Its totient is φ = 24231493440000.

The previous prime is 56541608003767. The next prime is 56541608003791. The reversal of 56541608003776 is 67730080614565.

56541608003776 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 56541608003776.

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 11 ways as a sum of consecutive naturals, for example, 133856266 + ... + 134278006.

Almost surely, 256541608003776 is an apocalyptic number.

56541608003776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56541608003776 is an abundant number, since it is smaller than the sum of its proper divisors (73979834926400).

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

56541608003776 is a wasteful number, since it uses less digits than its factorization.

56541608003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464518 (or 464501 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 56541608003776 in words is "fifty-six trillion, five hundred forty-one billion, six hundred eight million, three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 42751 85502 171004 299257 342008 421741 598514 684016 843482 1197028 1368032 1686964 2094799 2394056 2736064 2952187 3373928 4189598 4788112 5904374 6747856 8379196 9576224 11808748 13495712 16758392 19152448 20665309 23617496 26991424 33516784 41330618 47234992 67033568 82661236 94469984 134067136 165322472 188939968 330644944 661289888 1322579776 18029849491 36059698982 72119397964 126208946437 144238795928 252417892874 288477591856 504835785748 576955183712 883462625059 1009671571496 1153910367424 1766925250118 2019343142992 3533850500236 4038686285984 7067701000472 8077372571968 14135402000944 28270804001888 56541608003776