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52182906048 = 2634713267127
BaseRepresentation
bin110000100110010101…
…111111010011000000
311222200201100021210000
4300212111333103000
51323332310443143
635550020440000
73525066245220
oct604625772300
9158621307700
1052182906048
1120148987739
12a143b49000
134bc8097900
1427505dc080
151556336bd3
hexc2657f4c0

52182906048 has 840 divisors, whose sum is σ = 195816394752. Its totient is φ = 13450364928.

The previous prime is 52182906031. The next prime is 52182906067. The reversal of 52182906048 is 84060928125.

52182906048 is a `hidden beast` number, since 5 + 2 + 18 + 29 + 0 + 604 + 8 = 666.

It is a super-2 number, since 2×521829060482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52182905994 and 52182906012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 410888961 + ... + 410889087.

Almost surely, 252182906048 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 52182906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97908197376).

52182906048 is an abundant number, since it is smaller than the sum of its proper divisors (143633488704).

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

52182906048 is a wasteful number, since it uses less digits than its factorization.

52182906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 52182906048 in words is "fifty-two billion, one hundred eighty-two million, nine hundred six thousand, forty-eight".