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234116275008 = 26371127918223
BaseRepresentation
bin1101101000001001101…
…0101101101101000000
3211101021222002000122110
43122002122231231000
512313432231300013
6255315044135320
722625422334430
oct3320232555500
9741258060573
10234116275008
1190319596600
1239459097540
1319100427255
14b48d0aa2c0
1561536402c3
hex36826adb40

234116275008 has 336 divisors, whose sum is σ = 788023255040. Its totient is φ = 60036387840.

The previous prime is 234116274949. The next prime is 234116275037. The reversal of 234116275008 is 800572611432.

234116275008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12838185 + ... + 12856407.

Almost surely, 2234116275008 is an apocalyptic number.

234116275008 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 234116275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394011627520).

234116275008 is an abundant number, since it is smaller than the sum of its proper divisors (553906980032).

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

234116275008 is a wasteful number, since it uses less digits than its factorization.

234116275008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 234116275008 in words is "two hundred thirty-four billion, one hundred sixteen million, two hundred seventy-five thousand, eight".