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234259518066 = 23797384714947
BaseRepresentation
bin1101101000101011110…
…1001001001001110010
3211101122221121112011220
43122022331021021302
512314230414034231
6255341202245510
722632112022610
oct3321275111162
9741587545156
10234259518066
11903924331a2
1239499056896
1319123ccb762
14b4a41166b0
156160ed7896
hex368af49272

234259518066 has 64 divisors (see below), whose sum is σ = 541147256832. Its totient is φ = 66219628032.

The previous prime is 234259518049. The next prime is 234259518079. The reversal of 234259518066 is 660815952432.

It is a happy number.

234259518066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15665205 + ... + 15680151.

It is an arithmetic number, because the mean of its divisors is an integer number (8455425888).

Almost surely, 2234259518066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234259518066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270573628416).

234259518066 is an abundant number, since it is smaller than the sum of its proper divisors (306887738766).

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

234259518066 is a wasteful number, since it uses less digits than its factorization.

234259518066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18903.

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 234259518066 in words is "two hundred thirty-four billion, two hundred fifty-nine million, five hundred eighteen thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 582 679 1358 2037 3847 4074 7694 11541 14947 23082 26929 29894 44841 53858 80787 89682 104629 161574 209258 313887 373159 627774 746318 1119477 1449859 2238954 2612113 2899718 4349577 5224226 7836339 8699154 10149013 15672678 20298026 30447039 57501109 60894078 115002218 172503327 345006654 402507763 805015526 1207523289 2415046578 5577607573 11155215146 16732822719 33465645438 39043253011 78086506022 117129759033 234259518066