Search a number
-
+
243376208064 = 26341113731153
BaseRepresentation
bin1110001010101001011…
…0100011100011000000
3212021012022021100210000
43202222112203203000
512441413302124224
6303445552440000
723404042431003
oct3425226434300
9767168240700
10243376208064
1194240585340
123b202249000
1319c479b7192
14bacac2553a
1564e65640c9
hex38aa5a38c0

243376208064 has 280 divisors, whose sum is σ = 792799265808. Its totient is φ = 73209692160.

The previous prime is 243376208063. The next prime is 243376208111. The reversal of 243376208064 is 460802673342.

243376208064 is a `hidden beast` number, since 2 + 433 + 7 + 6 + 208 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×2433762080642 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243376208063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7796712 + ... + 7827864.

Almost surely, 2243376208064 is an apocalyptic number.

243376208064 is a gapful number since it is divisible by the number (24) 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 243376208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396399632904).

243376208064 is an abundant number, since it is smaller than the sum of its proper divisors (549423057744).

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

243376208064 is a wasteful number, since it uses less digits than its factorization.

243376208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31325 (or 31306 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 243376208064 in words is "two hundred forty-three billion, three hundred seventy-six million, two hundred eight thousand, sixty-four".