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234356795008 = 27717131257457
BaseRepresentation
bin1101101001000011000…
…0001110011010000000
3211101220201122201001121
43122100300032122000
512314430314420013
6255354555242024
722634402614060
oct3322060163200
9741821581047
10234356795008
1190432334866
1239505749314
131913b1ca98b
14b4b2dd93a0
15616980058d
hex3690c0e680

234356795008 has 256 divisors, whose sum is σ = 572745634560. Its totient is φ = 93239377920.

The previous prime is 234356794993. The next prime is 234356795009. The reversal of 234356795008 is 800597653432.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (234356795009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512815516 + ... + 512815972.

It is an arithmetic number, because the mean of its divisors is an integer number (2237287635).

Almost surely, 2234356795008 is an apocalyptic number.

234356795008 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 234356795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286372817280).

234356795008 is an abundant number, since it is smaller than the sum of its proper divisors (338388839552).

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

234356795008 is a wasteful number, since it uses less digits than its factorization.

234356795008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 234356795008 in words is "two hundred thirty-four billion, three hundred fifty-six million, seven hundred ninety-five thousand, eight".