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238327020480 = 26352921631811
BaseRepresentation
bin1101110111110101100…
…1011011101111000000
3211210011102100001112110
43131331121123233000
512401043204123410
6301252543055320
723134652151333
oct3357531335700
9753142301473
10238327020480
119208a431a3a
123a2332a1540
13196218c5c13
14b76c3dc61a
1562ed143720
hex377d65bbc0

238327020480 has 336 divisors, whose sum is σ = 788923983744. Its totient is φ = 60952227840.

The previous prime is 238327020427. The next prime is 238327020527. The reversal of 238327020480 is 84020723832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131598775 + ... + 131600585.

Almost surely, 2238327020480 is an apocalyptic number.

238327020480 is a gapful number since it is divisible by the number (20) 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 238327020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394461991872).

238327020480 is an abundant number, since it is smaller than the sum of its proper divisors (550596963264).

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

238327020480 is a wasteful number, since it uses less digits than its factorization.

238327020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 238327020480 in words is "two hundred thirty-eight billion, three hundred twenty-seven million, twenty thousand, four hundred eighty".