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50246270100 = 223252133723137
BaseRepresentation
bin101110110010111010…
…010011110010010100
311210200202012222200200
4232302322103302110
51310401021120400
635025515540500
73426102151245
oct566272236224
9153622188620
1050246270100
111a344789464
1298a345a730
134979aa7790
142609318ccc
1514912ddb00
hexbb2e93c94

50246270100 has 324 divisors, whose sum is σ = 174372566004. Its totient is φ = 12030197760.

The previous prime is 50246270077. The next prime is 50246270117. The reversal of 50246270100 is 107264205.

50246270100 is a `hidden beast` number, since 5 + 0 + 24 + 627 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 4181950224 + 46064319876 = 64668^2 + 214626^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16015732 + ... + 16018868.

Almost surely, 250246270100 is an apocalyptic number.

50246270100 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 50246270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87186283002).

50246270100 is an abundant number, since it is smaller than the sum of its proper divisors (124126295904).

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

50246270100 is a wasteful number, since it uses less digits than its factorization.

50246270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 50246270100 in words is "fifty billion, two hundred forty-six million, two hundred seventy thousand, one hundred".