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242350213266 = 232717613184571
BaseRepresentation
bin1110000110110100110…
…0101100100010010010
3212011112210200102111200
43201231030230202102
512432313123311031
6303200102052030
723336443552350
oct3415514544222
9764483612450
10242350213266
1193864417257
123ab7671a016
1319b13278075
14ba3086c7d0
15648644a8e6
hex386d32c892

242350213266 has 96 divisors (see below), whose sum is σ = 636445600128. Its totient is φ = 65063139840.

The previous prime is 242350213223. The next prime is 242350213271. The reversal of 242350213266 is 662312053242.

242350213266 is a `hidden beast` number, since 2 + 42 + 350 + 2 + 1 + 3 + 266 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242350213266.

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, 1220761 + ... + 1405331.

It is an arithmetic number, because the mean of its divisors is an integer number (6629641668).

Almost surely, 2242350213266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242350213266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318222800064).

242350213266 is an abundant number, since it is smaller than the sum of its proper divisors (394095386862).

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

242350213266 is a wasteful number, since it uses less digits than its factorization.

242350213266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185216 (or 185213 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 242350213266 in words is "two hundred forty-two billion, three hundred fifty million, two hundred thirteen thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 613 714 1071 1226 1839 2142 3678 4291 5517 8582 10421 11034 12873 20842 25746 31263 38619 62526 72947 77238 93789 145894 184571 187578 218841 369142 437682 553713 656523 1107426 1291997 1313046 1661139 2583994 3137707 3322278 3875991 6275414 7751982 9413121 11627973 18826242 21963949 23255946 28239363 43927898 56478726 65891847 113142023 131783694 197675541 226284046 339426069 395351082 678852138 791994161 1018278207 1583988322 1923414391 2036556414 2375982483 3846828782 4751964966 5770243173 7127947449 11540486346 13463900737 14255894898 17310729519 26927801474 34621459038 40391702211 80783404422 121175106633 242350213266