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234718350048 = 2535713893727
BaseRepresentation
bin1101101010011001001…
…1011100101011100000
3211102211220222121100000
43122212103130223200
512321200344200143
6255454512500000
722646353025310
oct3324623345340
9742756877300
10234718350048
11905a8431486
12395a684a600
131919809b480
14b509033440
15618b41cbd3
hex36a64dcae0

234718350048 has 576 divisors, whose sum is σ = 861744199680. Its totient is φ = 61191770112.

The previous prime is 234718350047. The next prime is 234718350127. The reversal of 234718350048 is 840053817432.

234718350048 is a `hidden beast` number, since 2 + 34 + 71 + 8 + 3 + 500 + 48 = 666.

234718350048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234718349985 and 234718350012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234718350047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 62975961 + ... + 62979687.

It is an arithmetic number, because the mean of its divisors is an integer number (1496083680).

Almost surely, 2234718350048 is an apocalyptic number.

234718350048 is a gapful number since it is divisible by the number (28) 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 234718350048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430872099840).

234718350048 is an abundant number, since it is smaller than the sum of its proper divisors (627025849632).

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

234718350048 is a wasteful number, since it uses less digits than its factorization.

234718350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 234718350048 in words is "two hundred thirty-four billion, seven hundred eighteen million, three hundred fifty thousand, forty-eight".