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55648014336 = 212331729599
BaseRepresentation
bin110011110100111000…
…010101000000000000
312022122012120000202000
4303310320111000000
51402431342424321
641321522024000
74010003213565
oct636470250000
9168565500660
1055648014336
11216669428a2
12a9504a8000
13532ac38845
14299c8b686c
1516aa650826
hexcf4e15000

55648014336 has 208 divisors, whose sum is σ = 174566592000. Its totient is φ = 17457610752.

The previous prime is 55648014313. The next prime is 55648014349. The reversal of 55648014336 is 63341084655.

55648014336 is a `hidden beast` number, since 5 + 564 + 80 + 1 + 4 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55648014291 and 55648014300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865265 + ... + 1894863.

Almost surely, 255648014336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55648014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87283296000).

55648014336 is an abundant number, since it is smaller than the sum of its proper divisors (118918577664).

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

55648014336 is a wasteful number, since it uses less digits than its factorization.

55648014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29649 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 55648014336 in words is "fifty-five billion, six hundred forty-eight million, fourteen thousand, three hundred thirty-six".