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50284632384 = 2633717972521
BaseRepresentation
bin101110110101001100…
…101001100101000000
311210210102101222212000
4232311030221211000
51310440331214014
635033410104000
73430046215530
oct566514514500
9153712358760
1050284632384
111a364400628
1298b427b000
134984a19a5c
1426104634c0
15149486a509
hexbb5329940

50284632384 has 448 divisors, whose sum is σ = 180799557120. Its totient is φ = 13377208320.

The previous prime is 50284632373. The next prime is 50284632449. The reversal of 50284632384 is 48323648205.

50284632384 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 4 + 632 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 19945044 + ... + 19947564.

It is an arithmetic number, because the mean of its divisors is an integer number (403570440).

Almost surely, 250284632384 is an apocalyptic number.

50284632384 is a gapful number since it is divisible by the number (54) 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 50284632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90399778560).

50284632384 is an abundant number, since it is smaller than the sum of its proper divisors (130514924736).

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

50284632384 is a wasteful number, since it uses less digits than its factorization.

50284632384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 50284632384 in words is "fifty billion, two hundred eighty-four million, six hundred thirty-two thousand, three hundred eighty-four".