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52668566496 = 2535751331
BaseRepresentation
bin110001000011010010…
…101000101111100000
312000221120012101200000
4301003102220233200
51330331123111441
640110130100000
73543114300000
oct610322505740
9160846171600
1052668566496
112037803a607
12a25a71a600
134c7489bb60
142798d00000
151583cbb2b6
hexc434a8be0

52668566496 has 864 divisors, whose sum is σ = 201443493888. Its totient is φ = 13442526720.

The previous prime is 52668566491. The next prime is 52668566519. The reversal of 52668566496 is 69466586625.

52668566496 is a `hidden beast` number, since 5 + 2 + 6 + 6 + 85 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52668566491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1698986001 + ... + 1698986031.

It is an arithmetic number, because the mean of its divisors is an integer number (233152192).

Almost surely, 252668566496 is an apocalyptic number.

52668566496 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 52668566496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100721746944).

52668566496 is an abundant number, since it is smaller than the sum of its proper divisors (148774927392).

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

52668566496 is an frugal number, since it uses more digits than its factorization.

52668566496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 56 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 52668566496 in words is "fifty-two billion, six hundred sixty-eight million, five hundred sixty-six thousand, four hundred ninety-six".