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243330008064 = 210311132324083
BaseRepresentation
bin1110001010011110011…
…0010100010000000000
3212021002002100011021220
43202213212110100000
512441314440224224
6303441222315040
723402641641063
oct3424746242000
9767062304256
10243330008064
119421749a620
123b1aa888a80
1319c3b25c5c0
14bac4a3a8da
1564e248a279
hex38a7994400

243330008064 has 352 divisors, whose sum is σ = 795109561344. Its totient is φ = 65102315520.

The previous prime is 243330008059. The next prime is 243330008093. The reversal of 243330008064 is 460800033342.

It is a tau number, because it is divible by the number of its divisors (352).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10091767 + ... + 10115849.

Almost surely, 2243330008064 is an apocalyptic number.

243330008064 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 243330008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397554780672).

243330008064 is an abundant number, since it is smaller than the sum of its proper divisors (551779553280).

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

243330008064 is a wasteful number, since it uses less digits than its factorization.

243330008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24153 (or 24135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 243330008064 in words is "two hundred forty-three billion, three hundred thirty million, eight thousand, sixty-four".