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242027593369 = 1724326732
BaseRepresentation
bin1110000101100111110…
…1111111111010011001
3212010201022121122012121
43201121331333322121
512431133030441434
6303104055141241
723325445412512
oct3413175777231
9763638548177
10242027593369
11937092a3141
123aaa6674821
1319a9148a513
14b9dda8ba09
156467e6e7b4
hex3859f7fe99

242027593369 has 27 divisors (see below), whose sum is σ = 263611837053. Its totient is φ = 222162619392.

The previous prime is 242027593331. The next prime is 242027593421. The reversal of 242027593369 is 963395720242.

The square root of 242027593369 is 491963.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3414882969 + 238612710400 = 58437^2 + 488480^2 .

It is not a de Polignac number, because 242027593369 - 211 = 242027591321 is a prime.

It is a super-2 number, since 2×2420275933692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242027593469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 359624617 + ... + 359625289.

Almost surely, 2242027593369 is an apocalyptic number.

242027593369 is the 491963-rd square number.

242027593369 is the 245982-nd centered octagonal number.

It is an amenable number.

242027593369 is a deficient number, since it is larger than the sum of its proper divisors (21584243684).

242027593369 is an frugal number, since it uses more digits than its factorization.

242027593369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

It can be divided in two parts, 242027 and 593369, that added together give a square (835396 = 9142).

The spelling of 242027593369 in words is "two hundred forty-two billion, twenty-seven million, five hundred ninety-three thousand, three hundred sixty-nine".

Divisors: 1 17 43 289 673 731 1849 11441 12427 28939 31433 194497 452929 491963 534361 1244377 7699793 8363371 19475947 21154409 130896481 331091099 359624953 837465721 5628548683 14236917257 242027593369