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538806400000 = 210551115307
BaseRepresentation
bin1111101011100110101…
…11010011010000000000
31220111202100022002100121
413311303113103100000
532311433414300000
61051305123030024
753633060555641
oct7656327232000
91814670262317
10538806400000
11198563191160
128851120b314
133ba69b39c3b
141c1150896c8
15e037945b1a
hex7d735d3400

538806400000 has 264 divisors, whose sum is σ = 1468756431072. Its totient is φ = 195916800000.

The previous prime is 538806399919. The next prime is 538806400079. The reversal of 538806400000 is 4608835.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35192347 + ... + 35207653.

Almost surely, 2538806400000 is an apocalyptic number.

538806400000 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 538806400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734378215536).

538806400000 is an abundant number, since it is smaller than the sum of its proper divisors (929950031072).

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

538806400000 is an equidigital number, since it uses as much as digits as its factorization.

538806400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 538806400000 in words is "five hundred thirty-eight billion, eight hundred six million, four hundred thousand".