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18873738240 = 210357296053
BaseRepresentation
bin10001100100111101…
…100110010000000000
31210201100021020120020
4101210331212100000
5302123134110430
612400453413440
71235465061630
oct214475462000
953640236506
1018873738240
118005807985
1237a893a280
131a1a260666
14cb08ac6c0
15756e48b10
hex464f66400

18873738240 has 352 divisors, whose sum is σ = 71381018880. Its totient is φ = 4164550656.

The previous prime is 18873738227. The next prime is 18873738287. The reversal of 18873738240 is 4283737881.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115054 + ... + 3121106.

Almost surely, 218873738240 is an apocalyptic number.

18873738240 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 18873738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35690509440).

18873738240 is an abundant number, since it is smaller than the sum of its proper divisors (52507280640).

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

18873738240 is a wasteful number, since it uses less digits than its factorization.

18873738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 18873738240 in words is "eighteen billion, eight hundred seventy-three million, seven hundred thirty-eight thousand, two hundred forty".