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18241899840 = 263452337827
BaseRepresentation
bin10000111111010011…
…010100110101000000
31202002022100112020000
4100333103110311000
5244324411243330
612214043120000
71214023406313
oct207723246500
952068315200
1018241899840
11781109338a
123651213000
131949398098
14c509d897a
1571b73c560
hex43f4d4d40

18241899840 has 560 divisors, whose sum is σ = 69625049472. Its totient is φ = 4521775104.

The previous prime is 18241899773. The next prime is 18241899853. The reversal of 18241899840 is 4899814281.

It is a happy number.

18241899840 is a `hidden beast` number, since 182 + 418 + 9 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22057507 + ... + 22058333.

Almost surely, 218241899840 is an apocalyptic number.

18241899840 is a gapful number since it is divisible by the number (10) 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 18241899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34812524736).

18241899840 is an abundant number, since it is smaller than the sum of its proper divisors (51383149632).

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

18241899840 is a wasteful number, since it uses less digits than its factorization.

18241899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 18241899840 in words is "eighteen billion, two hundred forty-one million, eight hundred ninety-nine thousand, eight hundred forty".