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50830298100 = 223252292418081
BaseRepresentation
bin101111010101101110…
…001100101111110100
311212012110011200111100
4233111232030233310
51313100024014400
635203501410100
73446423255631
oct572556145764
9155173150440
1050830298100
111a61441832a
129a26b69930
134a40aa048a
142662b05188
1514c7704100
hexbd5b8cbf4

50830298100 has 216 divisors, whose sum is σ = 165523077720. Its totient is φ = 13031424000.

The previous prime is 50830298087. The next prime is 50830298107. The reversal of 50830298100 is 189203805.

It can be written as a sum of positive squares in 12 ways, for example, as 10475113104 + 40355184996 = 102348^2 + 200886^2 .

It is a super-2 number, since 2×508302981002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50830298107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6286060 + ... + 6294140.

It is an arithmetic number, because the mean of its divisors is an integer number (766310545).

Almost surely, 250830298100 is an apocalyptic number.

50830298100 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 50830298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82761538860).

50830298100 is an abundant number, since it is smaller than the sum of its proper divisors (114692779620).

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

50830298100 is a wasteful number, since it uses less digits than its factorization.

50830298100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 50830298100 in words is "fifty billion, eight hundred thirty million, two hundred ninety-eight thousand, one hundred".