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56005511106060 = 22325311141728367
BaseRepresentation
bin11001011101111110011001…
…00110000100111000001100
321100022002000100211000022100
430232333030212010320030
524320043241320343220
6315040324314315100
714540156526521025
oct1456771446047014
9240262010730270
1056005511106060
1116932892a6004a
1263462b0428a90
1325333b2784879
14db8977301c4c
15671c7285cd90
hex32efcc984e0c

56005511106060 has 36 divisors (see below), whose sum is σ = 169883383688928. Its totient is φ = 14934802961568.

The previous prime is 56005511106059. The next prime is 56005511106197. The reversal of 56005511106060 is 6060111550065.

56005511106060 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 155570864004 + ... + 155570864363.

It is an arithmetic number, because the mean of its divisors is an integer number (4718982880248).

Almost surely, 256005511106060 is an apocalyptic number.

It is an amenable number.

56005511106060 is an abundant number, since it is smaller than the sum of its proper divisors (113877872582868).

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

56005511106060 is a wasteful number, since it uses less digits than its factorization.

56005511106060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311141728382 (or 311141728377 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 56005511106060 in words is "fifty-six trillion, five billion, five hundred eleven million, one hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311141728367 622283456734 933425185101 1244566913468 1555708641835 1866850370202 2800275555303 3111417283670 3733700740404 4667125925505 5600551110606 6222834567340 9334251851010 11201102221212 14001377776515 18668503702020 28002755553030 56005511106060