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52186680000 = 26355471359
BaseRepresentation
bin110000100110100100…
…011000101011000000
311222200222110000200000
4300212210120223000
51323334242230000
635550233400000
73525143314050
oct604644305300
9158628400600
1052186680000
1120150025104
12a145269000
134bc8ab9610
142750d01560
151556830000
hexc26918ac0

52186680000 has 1680 divisors, whose sum is σ = 242619336960. Its totient is φ = 10824192000.

The previous prime is 52186679989. The next prime is 52186680043. The reversal of 52186680000 is 8668125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 884519971 + ... + 884520029.

It is an arithmetic number, because the mean of its divisors is an integer number (144416272).

Almost surely, 252186680000 is an apocalyptic number.

52186680000 is a gapful number since it is divisible by the number (50) 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 52186680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121309668480).

52186680000 is an abundant number, since it is smaller than the sum of its proper divisors (190432656960).

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

52186680000 is an equidigital number, since it uses as much as digits as its factorization.

52186680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 52186680000 in words is "fifty-two billion, one hundred eighty-six million, six hundred eighty thousand".