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50682166128 = 243311107263379
BaseRepresentation
bin101111001100111001…
…000111101101110000
311211211010102210122000
4233030321013231300
51312244113304003
635141050414000
73442644206166
oct571471075560
9154733383560
1050682166128
111a548841610
1299a5431300
134a191a6919
14264b185236
1514b96e31a3
hexbcce47b70

50682166128 has 320 divisors, whose sum is σ = 161218252800. Its totient is φ = 15116855040.

The previous prime is 50682166111. The next prime is 50682166141. The reversal of 50682166128 is 82166128605.

50682166128 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 21 + 6 + 612 + 8 = 666.

It is a Cunningham number, because it is equal to 2251272-1.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133725843 + ... + 133726221.

It is an arithmetic number, because the mean of its divisors is an integer number (503807040).

Almost surely, 250682166128 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 50682166128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80609126400).

50682166128 is an abundant number, since it is smaller than the sum of its proper divisors (110536086672).

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

50682166128 is a wasteful number, since it uses less digits than its factorization.

50682166128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

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

The spelling of 50682166128 in words is "fifty billion, six hundred eighty-two million, one hundred sixty-six thousand, one hundred twenty-eight".