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552208811616 = 253472111971293
BaseRepresentation
bin10000000100100100011…
…01011100011001100000
31221210100101022010210000
420002102031130121200
533021410423432431
61101403051140000
754616151311200
oct10022215343140
91853311263700
10552208811616
111a32105293a0
128b031744600
13400c46b5b07
141ca27046400
15e56e3859e6
hex809235c660

552208811616 has 1440 divisors, whose sum is σ = 2207454923520. Its totient is φ = 133510809600.

The previous prime is 552208811591. The next prime is 552208811639. The reversal of 552208811616 is 616118802255.

552208811616 is a `hidden beast` number, since 5 + 5 + 2 + 20 + 8 + 8 + 1 + 1 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1884671566 + ... + 1884671858.

It is an arithmetic number, because the mean of its divisors is an integer number (1532954808).

Almost surely, 2552208811616 is an apocalyptic number.

552208811616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552208811616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103727461760).

552208811616 is an abundant number, since it is smaller than the sum of its proper divisors (1655246111904).

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

552208811616 is a wasteful number, since it uses less digits than its factorization.

552208811616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 552208811616 in words is "five hundred fifty-two billion, two hundred eight million, eight hundred eleven thousand, six hundred sixteen".