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50541290100 = 22325274191231
BaseRepresentation
bin101111000100011111…
…101110001001110100
311211110022100120001100
4233010133232021310
51312002032240400
635115055130100
73436313610000
oct570437561164
9154408316040
1050541290100
111a486271344
129966213930
1349c5c50922
142636593700
1514ac167100
hexbc47ee274

50541290100 has 540 divisors, whose sum is σ = 194695941440. Its totient is φ = 10935388800.

The previous prime is 50541290099. The next prime is 50541290101. The reversal of 50541290100 is 109214505.

It is an interprime number because it is at equal distance from previous prime (50541290099) and next prime (50541290101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50541290101) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 41056485 + ... + 41057715.

Almost surely, 250541290100 is an apocalyptic number.

50541290100 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 50541290100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97347970720).

50541290100 is an abundant number, since it is smaller than the sum of its proper divisors (144154651340).

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

50541290100 is a wasteful number, since it uses less digits than its factorization.

50541290100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 50541290100 in words is "fifty billion, five hundred forty-one million, two hundred ninety thousand, one hundred".