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55656006001 = 416122253501
BaseRepresentation
bin110011110101010110…
…110100000101110001
312022122202121001020121
4303311112310011301
51402440414143001
641322405210241
74010131150111
oct636526640561
9168582531217
1055656006001
1121670401082
12a953100981
13532c7a623b
14299d997041
1516ab1cd6a1
hexcf55b4171

55656006001 has 8 divisors (see below), whose sum is σ = 57948119208. Its totient is φ = 53408400000.

The previous prime is 55656005959. The next prime is 55656006031. The reversal of 55656006001 is 10060065655.

It can be written as a sum of positive squares in 4 ways, for example, as 16396546401 + 39259459600 = 128049^2 + 198140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55656006001 - 223 = 55647617393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55656006031) 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, 11124250 + ... + 11129251.

It is an arithmetic number, because the mean of its divisors is an integer number (7243514901).

Almost surely, 255656006001 is an apocalyptic number.

It is an amenable number.

55656006001 is a deficient number, since it is larger than the sum of its proper divisors (2292113207).

55656006001 is a wasteful number, since it uses less digits than its factorization.

55656006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22253603.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 55656006001 in words is "fifty-five billion, six hundred fifty-six million, six thousand, one".

Divisors: 1 41 61 2501 22253501 912393541 1357463561 55656006001